813900960 has 120 divisors (see below), whose sum is σ = 2872437876. Its totient is φ = 217036800.

The previous prime is 813900937. The next prime is 813900961. The reversal of 813900960 is 69009318.

It can be written as a sum of positive squares in 2 ways, for example, as 730945296 + 82955664 = 27036^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (813900961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18441 + ... + 44360.

Almost surely, 2^813900960 is an apocalyptic number.

813900960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813900960 is an abundant number, since it is smaller than the sum of its proper divisors (2058536916).

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

813900960 is a wasteful number, since it uses less digits than its factorization.

813900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62828 (or 62811 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 813900960 is about 28528.9495074740. The cubic root of 813900960 is about 933.6637990778.

The spelling of 813900960 in words is "eight hundred thirteen million, nine hundred thousand, nine hundred sixty".