Consider a 7870XT instead, if they are available in your area.
- There are a few 'better' 7870's on the market and more than one baseline spec for cards using that nomenclature.
If need be try to shave off the difference in price, as for a gaming rig you are much better off with a 7800 series GPU than a 7700 series GPU.
Yes, the part number is close, but the performance of the HD 7700 series is about half that of the HD 7800 series.
Spending $220 on the CPU, then less than half of that on the GPU for a 'gaming PC', when the budget is already near $1,000 doesn't make sense!
- Long gone are the days when you could get a $160 CPU and a $80 video card, then just fire up Quake 2 and Half-Life (original) and be done with it....
If you need to: Downgrade the CPU to a dual-core hyper-threaded variant, unless you need AES-NI or some particular feature of the Core i5 'K' series, and put this money into a better video card with a GPU that is 'at least' twice as powerful as the HD7770.
Today's, and tomorrows 'next gen' console ported, games run fine on dual-cores with hyper-threading, or AMD's three-core/6 threads (3 x L1 caches for code, but 6 x L2 caches for data) processors.
- Performance will scale better and your minimum frame rate will actually be higher with a slower processor, and a more powerful GPU/VPU, in this case.