800008008 has 16 divisors (see below), whose sum is σ = 2000020080. Its totient is φ = 266669328.

The previous prime is 800007997. The next prime is 800008051. The reversal of 800008008 is 800800008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 33333667 = 800008008 / (8 + 0 + 0 + 0 + 0 + 8 + 0 + 0 + 8).

800008008 is a modest number, since divided by 8008 gives 800 as remainder.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16666810 + ... + 16666857.

It is an arithmetic number, because the mean of its divisors is an integer number (125001255).

Almost surely, 2^800008008 is an apocalyptic number.

It is an amenable number.

800008008 is an abundant number, since it is smaller than the sum of its proper divisors (1200012072).

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

800008008 is a wasteful number, since it uses less digits than its factorization.

800008008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333676 (or 33333672 counting only the distinct ones).

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

The square root of 800008008 is about 28284.4128098852. The cubic root of 800008008 is about 928.3208641992.

The spelling of 800008008 in words is "eight hundred million, eight thousand, eight".