813957120 has 304 divisors, whose sum is σ = 3019893120. Its totient is φ = 207618048.

The previous prime is 813957113. The next prime is 813957149. The reversal of 813957120 is 21759318.

813957120 is a `hidden beast` number, since 81 + 3 + 9 + 571 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35389429 + ... + 35389451.

Almost surely, 2^813957120 is an apocalyptic number.

813957120 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 813957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509946560).

813957120 is an abundant number, since it is smaller than the sum of its proper divisors (2205936000).

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

813957120 is an frugal number, since it uses more digits than its factorization.

813957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 813957120 is about 28529.9337538663. The cubic root of 813957120 is about 933.6852731701.

The spelling of 813957120 in words is "eight hundred thirteen million, nine hundred fifty-seven thousand, one hundred twenty".