813826320 has 80 divisors (see below), whose sum is σ = 2529903552. Its totient is φ = 216414720.

The previous prime is 813826301. The next prime is 813826327. The reversal of 813826320 is 23628318.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (813826327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84975 + ... + 94065.

Almost surely, 2^813826320 is an apocalyptic number.

813826320 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 813826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264951776).

813826320 is an abundant number, since it is smaller than the sum of its proper divisors (1716077232).

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

813826320 is a wasteful number, since it uses less digits than its factorization.

813826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 813826320 is about 28527.6413325743. The cubic root of 813826320 is about 933.6352571954.

The spelling of 813826320 in words is "eight hundred thirteen million, eight hundred twenty-six thousand, three hundred twenty".