820937320 has 32 divisors (see below), whose sum is σ = 2110982400. Its totient is φ = 281464128.

The previous prime is 820937317. The next prime is 820937323. The reversal of 820937320 is 23739028.

It is an interprime number because it is at equal distance from previous prime (820937317) and next prime (820937323).

It is not an unprimeable number, because it can be changed into a prime (820937323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1465680 + ... + 1466239.

It is an arithmetic number, because the mean of its divisors is an integer number (65968200).

Almost surely, 2^820937320 is an apocalyptic number.

It is an amenable number.

820937320 is an abundant number, since it is smaller than the sum of its proper divisors (1290045080).

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

820937320 is a wasteful number, since it uses less digits than its factorization.

820937320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931937 (or 2931933 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 820937320 is about 28652.0037693701. The cubic root of 820937320 is about 936.3466615945.

The spelling of 820937320 in words is "eight hundred twenty million, nine hundred thirty-seven thousand, three hundred twenty".