Sub-Type: Centerfire Bolt Action 
Family Name: M77 Mark II All-WeatherŪ 
Gauge/Caliber: 300 Win Mag 
Finish: Stainless 
Stock/Grip: Black Synthetic 
Barrel Length: 24" 
Rear Sight: None 
Is this the gun?? Provided you get some good handloads you can probably push this stock gun out there a good bit.  Possibly 700 yards or better.  If the question was to just ask our opinion as to how far it'll shoot then the answer is real far!! 
 
A 3x9 scope really isn't the choice for long range shooting, but you really didn't say if you'd be using this gun for that.
Very hard to say since I wouldn't know what loads you're using, how fast you're pushing the bullet, the BC of your bullet, how high of mounts you're using and all the other variables that come into play.  Without much more knowledge than the info you gave, you'd probably be pressed to get that kind of range with that scope combo.  But I'm sure the gun will do that or better 

 At least the barrel is 24" and not 22".
Now if you're asking about just the caliber, then I'm sure there's some guys out there with custom 30" + barrels that can shoot this round out to 2000 yards.