You're kidding right? The beta ran pretty well on Ultra with my 770 at 1200p. So, a 780 should knock the socks off it, even at 1600p.
The beta had a lot of graphic details and features missing compared to the full game. Same as was with BF3 Beta, the 5850 I've had ran it smoothly but was crushed to it's knees with the full game (and made me upgrade to a 580). Looks like it'll be the same with BF4 but to a lesser extent.