808116800 has 42 divisors (see below), whose sum is σ = 1988476338. Its totient is φ = 323246080.

The previous prime is 808116791. The next prime is 808116823. The reversal of 808116800 is 8611808.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13778944 + 794337856 = 3712^2 + 28184^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250937 + ... + 254136.

Almost surely, 2^808116800 is an apocalyptic number.

808116800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808116800 is an abundant number, since it is smaller than the sum of its proper divisors (1180359538).

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

808116800 is a wasteful number, since it uses less digits than its factorization.

808116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505095 (or 505080 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 808116800 is about 28427.3952376928. The cubic root of 808116800 is about 931.4467788300.

The spelling of 808116800 in words is "eight hundred eight million, one hundred sixteen thousand, eight hundred".