It's not possible to answer the question as asked. There are too many types, models and variations of these guns to consider. These guns can sell for as little as a few hundred dollars up to thousands, depending on what it is, when it was made and condition. Condition is everything when appraising a gun. As always, it's recommended that you have it appraised at a Gun Shop or qualified professional.
100-10000 USD depending on specifics
Having trouble identifying the model. In 1979 (date indicated by your sn), Browning produces the BBR bolt-action rifle, the B78 single-shot and the BAR semiautomatic rifle in 7mm Remington Magnum, but none of those had that 117 designation. What type of rifle do you have?
Browning did not make the Model 70, Winchester did. Also, the serial number is not a valid Browning serial number for a 7mm Magnum rifle. Please doublecheck your information.
100-10000 USD depending on specifics
You will have to call Browning with the serial number.
Need to know if it's a bolt action or a semi-auto.
7mm Magnum and 300 Winchester Magnum
500-700 or so
26"
Made in both Bolt and Semi-Auto versions
243, 270, 30/06, 7mm Magnum, 300 Magnum
Check with Browning customer service.