Remington (and most all manufacturers) use the standard twist rate for the .30-06 cartridge. One full turn in ten-inches.
You can get an owner's manual from Remington. Check their web site.
Check date code on barrel - see related links
date code on barrel (check related link for details)
gun shop, gun show
Date code stamped on barrel (check related link to details)
Date code is stamped on barrel, see related links for information on the Remington Society of America.
Date code on barrel, check Remington Society of America - manufactured date link.
760
760
760
It is 760 when rounded to the nearest ten.
Check the barrel code on the Remington Society of America: http://remingtonsociety.com/rsa/questions/barrelcodes