Quoted:
Covering just the last couple digits is plenty.

The serial number cut off for 1976 was 4463553, so yours could be a 1976 or a 1977.

EIther way it's a post 63 Model 94 carbine in .30-30, which is very common as Model 94s go.  That makes them excellent values as shooters as there is no collector interest.

The pre-82 Model 94s are also pre-angle eject, as well as pre- cross bolt safety (1992) and pre-tang safety (2002).  I regard a model 94 that is not an AE as a plus, but shooters who want to scope them will disagree, and that can further impact the price.

In the early to mid 1970s winchester used an alloy with a higher chromium content that will require special salts to properly blue without turning purple, and a 1976 Model 94 would be on the edge of that range.  That can have an impact on a buyer wanting a non-pitted non collectible Model 94 with nice wood for a quick and easy refinish.  Your's would otherwise be a candidate for that given the minor wear on the wood, no major dings and no pitting on the metal work - assuming the bore is clean.    

In that condition from that era, in that caliber, you're probably looking at a real world selling price in the $250 to maybe $300 range.