808048800 has 432 divisors, whose sum is σ = 3135033720. Its totient is φ = 194641920.

The previous prime is 808048789. The next prime is 808048807. The reversal of 808048800 is 8840808.

It can be written as a sum of positive squares in 12 ways, for example, as 14837904 + 793210896 = 3852^2 + 28164^2 .

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

It is not an unprimeable number, because it can be changed into a prime (808048807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8330352 + ... + 8330448.

Almost surely, 2^808048800 is an apocalyptic number.

808048800 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 808048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567516860).

808048800 is an abundant number, since it is smaller than the sum of its proper divisors (2326984920).

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

808048800 is a wasteful number, since it uses less digits than its factorization.

808048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

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

The square root of 808048800 is about 28426.1991831479. The cubic root of 808048800 is about 931.4206521787.

The spelling of 808048800 in words is "eight hundred eight million, forty-eight thousand, eight hundred".