812038920 has 256 divisors, whose sum is σ = 3170119680. Its totient is φ = 161356800.

The previous prime is 812038901. The next prime is 812038939. The reversal of 812038920 is 29830218.

It is an interprime number because it is at equal distance from previous prime (812038901) and next prime (812038939).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210610 + ... + 214430.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^812038920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

812038920 is an abundant number, since it is smaller than the sum of its proper divisors (2358080760).

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

812038920 is a wasteful number, since it uses less digits than its factorization.

812038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 812038920 is about 28496.2966014884. The cubic root of 812038920 is about 932.9512443950.

The spelling of 812038920 in words is "eight hundred twelve million, thirty-eight thousand, nine hundred twenty".