That's a very good question. And the answer really depends on numerous factors. Goals, Age, Income status, etc. Let's look at both aspects.
If you were to pay your house off, a benefit is that you will have no mortgage payments. You will only owe property taxes (and HOA if applicable). But you will loose out on what investors know as leverage. Essentially there is an opportunity cost of keeping your money tied up in your home, a home that will appreciate (or depreciate) if money is in it or not. The opportunity cost is that the money could be used elsewhere for something else (that could potentially make you money also).
Also, as others have pointed out, rates are really good now. Why not take advantage of the low interest while you can.
However, if your older and/or looking to retire, perhaps on a fixed income, then paying off your house might be synonymous with your goals. Again it varies with what you want to achieve. Hope this helps.