No, you need a 850 watter:
http://www.geforce.com/hardware/desktop-gpus/geforce-gtx-780/specifications
Thermal and Power Specs:
95 C= Maximum GPU Temperature (in C)
250 W = Graphics Card Power (W)
600 W = Minimum Recommended System Power (W)
One 8-pin and one 6-pin = Supplementary Power Connectors
So, at least according to nVidia, 600 watts for the system w/ 1st card plus 250 for the 2nd
http://www.guru3d.com/articles_pages/geforce_gtx_780_review,9.html
Here is Guru3D's power supply recommendation:
GeForce GTX 780 - On your average system the card requires you to have a 550 Watt power supply unit.
GeForce GTX 780 2-way SLI - On your average system the cards require you to have a 800 Watt power supply unit as minimum.
GeForce GTX 780 3-way SLI - On your average system the cards require you to have a 1200 Watt power supply unit as minimum.
If you are going to overclock your GPU or processor, then we do recommend you purchase something with some more stamina.
I have two 780s with a kil-o-watt meter attached to the system. I have the CPU at 4.6 Ghz and the 780's with a 25% OC. Running Furmark right now I am seeing 740 watts being sucked from the wall socket under Furmark.....at 90% efficiency, that's a PSU rating of 66 watts ..... but under Furmark, the CPU is only drawings 40 watts and at 4.6Ghz and full load it cab pull 135 .... so adding 95 watts with CPU as well as GPUs loaded, comes to 761 watts.
At idle it pulls about 118 watts .... gaming typically in the 550 - 680 range, with peaks into the 700s
Seasonic X series gets 10.0 Performance and 10.0 Build Quality ratings from jonnyguru
Corsair HX series is next in line .... has better ripple and voltage regulation than AX series.
EVGA SuperNova is a match for the HX (10.0 performance rating / 9.5 build quality rating)
Next we have the Seasonic M12 series, XFX Core Edition and Corsair RM series..... Antec HCG . HCP also climbs into this category.