The 7850 is a very low power card. The XFX power supply is a very good Seasonic made model. You are fine even with CPU and GPU overclocking. You could really run the HD 7850 on a good 400w power supply with no problems.
" Our test system is based on a power hungry Core i7 965 / X58 system. This setup is overclocked to 3.75 GHz. Next to that we have energy saving functions disabled for this motherboard and processor (to ensure consistent benchmark results). On average we are using roughly 50W to 100 Watts more than a standard PC due to higher CPU clock settings, water-cooling, additional cold cathode lights etc."
"Measured power consumption R7850
1.System in IDLE = 160W
2.System Wattage with GPU in FULL Stress = 256W
3.Difference (GPU load) = 96W
4.Add average IDLE wattage ~10W
5.Subjective obtained GPU power consumption = ~ 106 Watts"
So their entire system with an overclocked i7 965 ( pulls way more than your 3770K can ) is pulling 256 watts. Even overclocking everything you will be hard pressed to pull 250 watts at the wall.