It seems with that budget, you are blowing it out with those 3 components. You need to consider ALL of the components that make up your completed PC. If you have already done so, please list them. If not, PCPartPicker.com is a great tool for this....here would be an example of a completed computer based on your budget (considering it is the tower by itself, is designed for gaming, and you already have an OS):
http://pcpartpicker.com/p/2m6Iw
Something similar to this, but I just kind of slapped this together...needs some tweaking I am sure! I am a bit of a fanboy when it comes to Corsair's PSUs and I know it is overkill, but this would offer you some expand-ability in the future if you ever wanted to tack on an additional card for SLI.
The GTX 780Ti is a potent card. However, I would not look at trying to get the "best of the best" with the kind of budget you are considering. There are plenty of configurations that should suit your needs without going with Top Tier cards and processors.