I have a row... 0 0 0 8 6 9 8

I want to get the product of each of the numbers +1 so I am using
=product(index(A1:A7+2, 0)) = 70400

now I want to remove anytime there is a zero but I do not know how to have it check to make sure that each value is greater than zero so that my result = 8800


any suggestions?

Thanks.