8008880800 has 36 divisors (see below), whose sum is σ = 19551682206. Its totient is φ = 3203552000.

The previous prime is 8008880773. The next prime is 8008880809. The reversal of 8008880800 is 80888008.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4417995024 + 3590885776 = 66468^2 + 59924^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8008880809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5004751 + ... + 5006350.

Almost surely, 2^8008880800 is an apocalyptic number.

8008880800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008880800 is an abundant number, since it is smaller than the sum of its proper divisors (11542801406).

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

8008880800 is a wasteful number, since it uses less digits than its factorization.

8008880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011121 (or 10011108 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 8008880800 is about 89492.3505110912. The cubic root of 8008880800 is about 2000.7397929861.

The spelling of 8008880800 in words is "eight billion, eight million, eight hundred eighty thousand, eight hundred".