811513920 has 224 divisors, whose sum is σ = 2964411648. Its totient is φ = 184246272.

The previous prime is 811513897. The next prime is 811513957. The reversal of 811513920 is 29315118.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1323534 + ... + 1324146.

Almost surely, 2^811513920 is an apocalyptic number.

811513920 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 811513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482205824).

811513920 is an abundant number, since it is smaller than the sum of its proper divisors (2152897728).

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

811513920 is a wasteful number, since it uses less digits than its factorization.

811513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 811513920 is about 28487.0833887922. The cubic root of 811513920 is about 932.7501436086.

The spelling of 811513920 in words is "eight hundred eleven million, five hundred thirteen thousand, nine hundred twenty".