8008080 has 80 divisors (see below), whose sum is σ = 25278144. Its totient is φ = 2096640.

The previous prime is 8008009. The next prime is 8008081. The reversal of 8008080 is 808008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

8008080 is a modest number, since divided by 8080 gives 800 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8008080.

It is not an unprimeable number, because it can be changed into a prime (8008081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14367 + ... + 14913.

Almost surely, 2^8008080 is an apocalyptic number.

8008080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639072).

8008080 is an abundant number, since it is smaller than the sum of its proper divisors (17270064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8008080 is a wasteful number, since it uses less digits than its factorization.

8008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8008080 is about 2829.8551199664. The cubic root of 8008080 is about 200.0673106772.

The spelling of 8008080 in words is "eight million, eight thousand, eighty".