i7-5820K VS i7-4790K?

Solution
Agreed.

While you CAN overclock the 6-core it won't overclock as high likely plus it's default frequency is LOWER so it would actually run WORSE in games than a similar i5 or i7.

Add the cost of DDR4 memory and better motherboard and you're just throwing a lot of money in the garbage unless you do some serious video editing or similar.

Check out the default FREQUENCY:
i7-5820K: http://ark.intel.com/products/82932/
i7-4790K: http://ark.intel.com/products/80807/Intel-Core-i7-4790K-Processor-8M-Cache-up-to-4_40-GHz

Thus at this frequency (XMP value I guess) the cheaper i7 is faster per core by 4.4/3.6 = 22%

Again, yes you can overclock even further but the extra cores will seriously limit that potential in the 6-core CPU so you'd...
Agreed.

While you CAN overclock the 6-core it won't overclock as high likely plus it's default frequency is LOWER so it would actually run WORSE in games than a similar i5 or i7.

Add the cost of DDR4 memory and better motherboard and you're just throwing a lot of money in the garbage unless you do some serious video editing or similar.

Check out the default FREQUENCY:
i7-5820K: http://ark.intel.com/products/82932/
i7-4790K: http://ark.intel.com/products/80807/Intel-Core-i7-4790K-Processor-8M-Cache-up-to-4_40-GHz

Thus at this frequency (XMP value I guess) the cheaper i7 is faster per core by 4.4/3.6 = 22%

Again, yes you can overclock even further but the extra cores will seriously limit that potential in the 6-core CPU so you'd scale roughly the same. There's a reason the chosen frequency for default is lower.

A LOT of programs can't use all of the cores, and the ones that can often only do that during the rendering stage when you may not be around. Factor in the HIGHER FREQUENCY and fact that you're unlikely to get 1.5X better performance even at the same frequency and you might only see about 20% improvement at best even in a program that can really use the extra threads.

You can of course find some reviews on the i7-5820K but in general I wouldn't recommend it.
 
Solution
Awesome review: http://www.anandtech.com/show/8426/the-intel-haswell-e-cpu-review-core-i7-5960x-i7-5930k-i7-5820k-tested

In particular, note that i7-4790K is actually WINNING some of the time:
http://www.anandtech.com/show/8426/the-intel-haswell-e-cpu-review-core-i7-5960x-i7-5930k-i7-5820k-tested/5

For GAMING, you might as well just assume them equal.

*They did "further overclocking" for which the other i7-5xxx CPU's did quite well but I didn't see the i7-5820K listed anywhere. It's a "K" chip so should overclock so what's the deal?