813732960 has 192 divisors, whose sum is σ = 2629186560. Its totient is φ = 211507200.

The previous prime is 813732911. The next prime is 813733057. The reversal of 813732960 is 69237318.

It is a super-2 number, since 2×813732960² = 1324322660380723200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5388885 + ... + 5389035.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^813732960 is an apocalyptic number.

813732960 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 813732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314593280).

813732960 is an abundant number, since it is smaller than the sum of its proper divisors (1815453600).

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

813732960 is a wasteful number, since it uses less digits than its factorization.

813732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

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

The square root of 813732960 is about 28526.0049779145. The cubic root of 813732960 is about 933.5995544422.

The spelling of 813732960 in words is "eight hundred thirteen million, seven hundred thirty-two thousand, nine hundred sixty".