8008800408 has 48 divisors (see below), whose sum is σ = 24789145680. Its totient is φ = 2288228544.

The previous prime is 8008800403. The next prime is 8008800413. The reversal of 8008800408 is 8040088008.

It is an interprime number because it is at equal distance from previous prime (8008800403) and next prime (8008800413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008800403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7944735 + ... + 7945742.

It is an arithmetic number, because the mean of its divisors is an integer number (516440535).

Almost surely, 2^8008800408 is an apocalyptic number.

It is an amenable number.

8008800408 is an abundant number, since it is smaller than the sum of its proper divisors (16780345272).

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

8008800408 is a wasteful number, since it uses less digits than its factorization.

8008800408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890496 (or 15890489 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8008800408 is about 89491.9013542566. The cubic root of 8008800408 is about 2000.7330985837.

The spelling of 8008800408 in words is "eight billion, eight million, eight hundred thousand, four hundred eight".