8790800 has 30 divisors (see below), whose sum is σ = 21120858. Its totient is φ = 3516160.

The previous prime is 8790781. The next prime is 8790811. The reversal of 8790800 is 80978.

It can be written as a sum of positive squares in 3 ways, for example, as 473344 + 8317456 = 688^2 + 2884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10589 + ... + 11388.

Almost surely, 2^8790800 is an apocalyptic number.

8790800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8790800 is an abundant number, since it is smaller than the sum of its proper divisors (12330058).

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

8790800 is a wasteful number, since it uses less digits than its factorization.

8790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21995 (or 21984 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 8790800 is about 2964.9283296566. The cubic root of 8790800 is about 206.3840512084.

The spelling of 8790800 in words is "eight million, seven hundred ninety thousand, eight hundred".