808166400 has 264 divisors, whose sum is σ = 2832720480. Its totient is φ = 202506240.

The previous prime is 808166389. The next prime is 808166441. The reversal of 808166400 is 4661808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305291 + ... + 1305909.

Almost surely, 2^808166400 is an apocalyptic number.

808166400 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 808166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416360240).

808166400 is an abundant number, since it is smaller than the sum of its proper divisors (2024554080).

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

808166400 is a wasteful number, since it uses less digits than its factorization.

808166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 808166400 is about 28428.2676222101. The cubic root of 808166400 is about 931.4658349924.

The spelling of 808166400 in words is "eight hundred eight million, one hundred sixty-six thousand, four hundred".