813828160 has 56 divisors (see below), whose sum is σ = 2004776280. Its totient is φ = 314302464.

The previous prime is 813828149. The next prime is 813828161. The reversal of 813828160 is 61828318.

It can be written as a sum of positive squares in 4 ways, for example, as 334743616 + 479084544 = 18296^2 + 21888^2 .

It is not an unprimeable number, because it can be changed into a prime (813828161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34569 + ... + 53128.

Almost surely, 2^813828160 is an apocalyptic number.

813828160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813828160 is an abundant number, since it is smaller than the sum of its proper divisors (1190948120).

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

813828160 is a wasteful number, since it uses less digits than its factorization.

813828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87743 (or 87733 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 813828160 is about 28527.6735819800. The cubic root of 813828160 is about 933.6359608212.

The spelling of 813828160 in words is "eight hundred thirteen million, eight hundred twenty-eight thousand, one hundred sixty".