813976320 has 288 divisors, whose sum is σ = 2835338688. Its totient is φ = 198180864.

The previous prime is 813976313. The next prime is 813976327. The reversal of 813976320 is 23679318.

It is an interprime number because it is at equal distance from previous prime (813976313) and next prime (813976327).

It is not an unprimeable number, because it can be changed into a prime (813976327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2415192 + ... + 2415528.

It is an arithmetic number, because the mean of its divisors is an integer number (9844926).

Almost surely, 2^813976320 is an apocalyptic number.

813976320 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 813976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417669344).

813976320 is an abundant number, since it is smaller than the sum of its proper divisors (2021362368).

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

813976320 is a wasteful number, since it uses less digits than its factorization.

813976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 813976320 is about 28530.2702405708. The cubic root of 813976320 is about 933.6926145135.

The spelling of 813976320 in words is "eight hundred thirteen million, nine hundred seventy-six thousand, three hundred twenty".