808004004 has 48 divisors (see below), whose sum is σ = 1934369472. Its totient is φ = 262420992.

The previous prime is 808003991. The next prime is 808004011. The reversal of 808004004 is 400400808.

808004004 is a modest number, since divided by 4004 gives 808 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67152 + ... + 78264.

It is an arithmetic number, because the mean of its divisors is an integer number (40299364).

Almost surely, 2^808004004 is an apocalyptic number.

It is an amenable number.

808004004 is an abundant number, since it is smaller than the sum of its proper divisors (1126365468).

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

808004004 is a wasteful number, since it uses less digits than its factorization.

808004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 808004004 is about 28425.4112371308. The cubic root of 808004004 is about 931.4034400620.

The spelling of 808004004 in words is "eight hundred eight million, four thousand, four".