To get an answer you will need to state the model and the condition of the rifle.
I'm not familiar with a "Winchester model 77". Is this a bolt action gun or a lever-action rifle? Winchester's famous bolt-action hunting rifle is called the Model 70. Their most famous lever-action guns are the 1873 and 1894 models. Ruger is a company that has a bolt-action rifle called the Model 77.
20-150 usd
A bolt action sporting rifle made by the Ruger company. See link: http://www.ruger-firearms.com/products/m77Hawkeye/index.html
245 dollars
25-75 usd
Your Winchester model 77 rifle was made from 1955-1963.
The value of a Ruger rifle Model 77 bolt-action in stainless steel with a blued grip can vary depending on its condition, age, and any additional accessories. On average, such a rifle may be valued between $600 to $900 in the current market. It's recommended to have the rifle appraised by a professional gun dealer or use online gun marketplaces to get a more accurate valuation.
Pretty good
65 ftlbs
$300-$450, depending on exactly WHICH Model 77, and it's condition. There were several models, and one model change.
yes
100-500 or so