Will my 550w psu run gtx 770?

Solution
Maaaybe... probably? Get a tester, they're cheap. It would be best to upgrade, that is either just below or just at the recommended wattage, but it is 80+ silver...
FSP isn't a great PSU manufacturer. That PSU states that it supplies 42A to a 12V rail, which is the bare minimum for a GTX 770. So if you want to bank on the quality of a FSP unit, you will be fine. Otherwise I would suggest looking for a XFX/SeaSonic/Corsair unit.
 
FSP makes decent PSU's. Even with an FX 8350, at stock, you would only be at about 465w. That figure was on an overclocked 770 as well. That is a silver rated 550w. You are OK. If ever in doubt, you can go to pcpartpicker and use it to determine what your wattage estimate based on the parts you have or are looking to buy.