Bro for 1080P gaming, even the 770 is more than enough! I have a 1080p monitor, and a 780. Couldn't be happier bro!!
I'd say go for the 780 if you because it would definitely last you more than 5 years. I run batman arkham origins on it, all extreme, dx11 settings enhanced, high TXAA, physx high, averaging around 55 to 59fps. And that's on a shit cpu bro. 780Ti is still ok, but just too expensive for the performance bro. And the 780 OC's very well!