GTX 780 vs GTX 770

As far as I know, the 770 won't be able to utilize all that 4 GB VRAM properly due to its 256-bit memory bus. The 780 has a 384-bit bus, allowing more effective VRAM usage. Also, the 780 should last you longer than the 770 because it is superior in almost every aspect. I'd say spend a bit more than a 4 GB 770 to get a 3 GB 780.

As far as I know, the 770 won't be able to utilize all that 4 GB VRAM properly due to its 256-bit memory bus.

Does it also means that a GTX 750 Ti can't utilize its 2GB VRAM due to its 128-bit memory bus, and a Titan can't utilize its 6GB VRAM due to its 384-bit memory bus?

What GTX 780 brand is recommended?

In my opinion Asus is #1 however there are other good brands for Video cards like EVGA, MSI and Zotac to name a few...

I would stay far away from Gigabyte graphics cards!

Most people would stay away from Zotac.
Gigabyte make great quality cards.
Asus are usually quieter, but more expensive.

How did Zotac become one of the worlds largest graphics producers if most people avoid them?

Below is their story from the website

http://www.zotac.com/about-us.html

Established in 2006, ZOTAC is the world’s largest and most innovative manufacturer of graphics cards, mini-ITX motherboards and mini-PCs. ZOTAC system components, and mini-PCs can be found in all continents around the globe.
Derived from the terms “zone,” for being distinct in the PC components and systems business, and “tact,” for our superior skill, experience, quality and manufacturing capabilities. Combined, “ZOTAC,” represents technological strength and experience blended with a fresh approach on the industry’s ever-changing needs.
ZOTAC entered the market with an expanded lineup of NVIDIA® GeForce® based graphics cards, which included the passive-cooled ZOTAC GeForce® ZONE Editions and class leading overclocked ZOTAC GeForce® AMP! Editions, in addition to the standard GeForce® series lineup. ZOTAC has since expanded its focus to include motherboards, mini-PCs and innovative accessories worldwide.
ZOTAC products are manufactured to the most rigorous quality standards that combine world-class quality control, reliability, features and performance with superior end-user and channel support.
With 44 SMT lines, over 6,000 workers and a combined 100,000 square-meters of factory space, ZOTAC features a full array of state-of-the-art facilities and machineries. In addition, ZOTAC has over 130 R&D professionals in Hong Kong, China with warranty and service centers in strategic countries to enable effective and efficient worldwide as well as localized sales and marketing support.
Since the introduction of ZOTAC into the PC components, ZOTAC products continually win awards from influential media all around the globe and continually exceed customer and journalist expectations.
The ZOTAC commitment to our customers is to bring the latest products and technologies to the market with superior value and quality. Needless to say, ZOTAC is the right choice for high-quality and high-performance components with exceptional value.

As far as I know, the 770 won't be able to utilize all that 4 GB VRAM properly due to its 256-bit memory bus. The 780 has a 384-bit bus, allowing more effective VRAM usage. Also, the 780 should last you longer than the 770 because it is superior in almost every aspect. I'd say spend a bit more than a 4 GB 770 to get a 3 GB 780.

if you want a 770, I would reference the zotac gtx 770 amp, it has been an amazing card for me, however I have had problems with the fans which is apparently common with zotac cards.

if you want a 770, I would reference the zotac gtx 770 amp, it has been an amazing card for me, however I have had problems with the fans which is apparently common with zotac cards.

What type of problems with the fans?

I'm sorry I may misunderstand your post. Are you saying that you are recommending a card that you had personally issues with? That doesn't compute

Your opinions and expectations are not factual...

Gigabyte is a 2nd largest player in the Mother board business however their graphics business isn't very large.
People sometimes mix up the two categories and Assume Gigabyte is a big player however when it come to graphics cards even MSI is a bigger player than Gigabyte.

Below is info from softpedia


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Gigabyte motherboard Enlarge picture - Gigabyte motherboard


Like everywhere else, there is a lot of competition on the motherboard industry, as companies race against the others in their quest to secure contracts and enchant customers.

ASUS has led in terms of shipments for quite some time, but Gigabyte is a close second. A very close second if recent reports are to be believed.

During the first quarter, Gigabyte shipped 4.9 million motherboards, just a little behind ASUS' 5 million.

Thus, by the end of the year (2013), ASUS may very well be relegated to second place.

Since the two accounted for 47% of the total motherboard market in 2012 (40 million), the change in ranking won't really affect consumers much, although the reputation of being “the best” could color opinions here and there.

That said, ASRock will probably keep the third spot, unless MSI somehow supplants it (in 2012, they shipped 7 and 6 million, respectively