Definitely haggle on the price and have a mechanic check it out before buying. I personally would pass because the 2001 Honda Accord is known for its weak automatic transmission, and the V6 doesn't help.

See here:

http://carcomplaints.com/honda/accord/2001/

Another good choice is a same gen V6 Camry.

I appreciate what @Kerem has to say.  My general experience with the sixth generation Accord (from ownership and friends that own them) has been positive.

TMK, the Sixth Generation Accord  were one of the more RESILIENT Honda/Acura's ever built, because a lot of it was carried over but refined technology from previous Accords.

The generation you have to worry about is the SEVENTH Generation Accord.  Those are the ones with big time problems with the Automatic Transmission. 

As for the price, assuming the mileage is legit, it seems like a fair price*, considering Honda's/Acura's have a slight markup because they are Honda/Acura's.  Honda/Acura nerds are willing to shell out a little bit more for "classic" Honda/Acura with lower mileage.  

If it was any other car brand, I would balk at the price. But with Honda/Acura, I get it. It has a following. Try to negotiate as low as you can get, because there is a market for older lower mileage Honda/Acura.

*Assuming everything checks out.

P.S. - I still run my 1999 Honda Accord since the beginning, now with 270K+ miles.  And I still use it as a daily driver.

Things that may need to be done as part of maintenance besides fluid changes is the timing belt and water pump. Make sure to inspect it to know if it needs to be changed or not.  That would probably be the biggest expected maintenance cost.

Otherwise, parts are readily available.  And tons of mechanics know how to work on these Accords.

Ask for proof of the mileage being genuine, before you go any further. Things like oil change receipts, inspections, things which show a gradual increase in mileage over the years. 

If it does indeed have only 78,500 miles, that car still has a lot of life left in it.