820220976 has 60 divisors (see below), whose sum is σ = 2324568480. Its totient is φ = 269942400.

The previous prime is 820220969. The next prime is 820221047. The reversal of 820220976 is 679022028.

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

It is a self number, because there is not a number n which added to its sum of digits gives 820220976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24675 + ... + 47426.

It is an arithmetic number, because the mean of its divisors is an integer number (38742808).

Almost surely, 2^820220976 is an apocalyptic number.

It is an amenable number.

820220976 is an abundant number, since it is smaller than the sum of its proper divisors (1504347504).

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

820220976 is a wasteful number, since it uses less digits than its factorization.

820220976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72194 (or 72185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 820220976 is about 28639.5002749699. The cubic root of 820220976 is about 936.0742325522.

The spelling of 820220976 in words is "eight hundred twenty million, two hundred twenty thousand, nine hundred seventy-six".