Yes, there is. It is 33550336.
An eight digit number with one zero cannot remain the same when its digits are reversed. It must have an even number of 0s.
77
There are none.
If the number with the digits reversed can have a leading 0 so that it is a 1-digit number, then 16. Otherwise 13.
Eight.
44? ? ?
I think it will be 17. The sum of digits is 8, which is the cube of 2.
99999999
All of them.
The number has only 5 digits: there are not 8 digits in it.
Eight digits.
A telephone number in Lesotho are eight digits long with the first two numbers being its area code.