Your power supply will only pull as much power from the wall as it needs - based on its efficiency rating.
So if it is an 80Plus Gold it should be rated 87% efficient.
So if it needs 600 watts for the PC, it will pull about 690 watts!
For your 280X card alone, you should have 600W available. What about the CPU, CPU cooler, Case fans, hard disks, Optical drive, sound card, NIC, etc. ?
Also the sweet spot for efficiency of your PS is 50%.
So I would get at least the 750W but you really could justify a 1000W+ PS based on the above. Especially in an intense gaming scenario.
For some reason people tell you to get the minimum required PS for your hardware, when in reality you should really have a significant overhead of available power. This goes for Stereos, and any system that has to perform against a load.
Read the stickys in this forum, and see this site for how you will want to calculate capacity for power.
http://www.realhardtechx.com/index_archivos/Page362.htm