A bolt action sporting rifle made by the Ruger company. See link: http://www.ruger-firearms.com/products/m77Hawkeye/index.html
Depending on condition, and WHICH version of the M77, between $250 and $500.
It is a RUGER Model 77. That is what the M77 means. Typically the M77 is the "older" style with a tang safety, blued with walnut furniture.
100-500
The Ruger website, under customer service, historical data, rifle, M77, will have the serial number ranges for each year of production.
100-400
Remington 700 308?
50-700 usd
Long
Strong enough for factory loaded ammunition and hand loads that don't exceed SAMMI standards.
Go to the Ruger website. Under Customer Service, Historical Data, Rifles, M77, and the serial number groups for each year are posted there.
Short
100-500 or so