Will the car be on a trailer or tow dolly? If on a trailer you need to factor in the weight of the trailer as well.
The proper way to figure your tow rating is
CGVWR (the max weight rating of your truck, trailer and everything in them) minus the weight rating of your truck equals the actual tow rating for your vehicle. Then factor in the tongue weight (shouldn't be anymore than 15%. 10% is ideal) and a 15-20% safety margin.
Example:
My truck has a CGVWR (Combined Gross Vehicle Weight Rating) of 13,000 lbs. It's GVWR is 6,750 lbs which leaves a 6,250 tow rating (and that hasn't factored in the tongue weight and safety margins). Far below the 7,750 rating Dodge says my truck can tow. Granted your truck won't be fully loaded so you could probably tow more.
Do you have a Class IV hitch or a bumper hitch? A bumper hitch is limited to 500 lbs tongue weight.
In general you should be okay.. Take it slow and give yourself plenty of stopping distance. It's not just the engine you have to be concerned with, but the transmission, suspension and brakes as well. I'd inflate the tires to at least 40 lbs.
Make sure to lock out overdrive. The No OD light should be on. You might be able to get away with Tow/Haul mode (will allow the 1st OD), but with that much weight I'd lock out both OD's.
You fuel mileage will s*u*c*k. I'd expect 9-10 mpg at best.
