813622920 has 128 divisors (see below), whose sum is σ = 2674944000. Its totient is φ = 196340480.

The previous prime is 813622903. The next prime is 813622937. The reversal of 813622920 is 29226318.

It is a happy number.

813622920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813622903) and next prime (813622937).

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

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, 314191 + ... + 316769.

It is an arithmetic number, because the mean of its divisors is an integer number (20898000).

Almost surely, 2^813622920 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 813622920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337472000).

813622920 is an abundant number, since it is smaller than the sum of its proper divisors (1861321080).

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

813622920 is a wasteful number, since it uses less digits than its factorization.

813622920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 813622920 is about 28524.0761463014. The cubic root of 813622920 is about 933.5574694130.

The spelling of 813622920 in words is "eight hundred thirteen million, six hundred twenty-two thousand, nine hundred twenty".