820831072 has 24 divisors (see below), whose sum is σ = 1632677256. Its totient is φ = 406182912.

The previous prime is 820831049. The next prime is 820831079. The reversal of 820831072 is 270138028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820831079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129118 + ... + 135325.

It is an arithmetic number, because the mean of its divisors is an integer number (68028219).

Almost surely, 2^820831072 is an apocalyptic number.

It is an amenable number.

820831072 is a deficient number, since it is larger than the sum of its proper divisors (811846184).

820831072 is a wasteful number, since it uses less digits than its factorization.

820831072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264550 (or 264542 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 820831072 is about 28650.1495982133. The cubic root of 820831072 is about 936.3062649853.

The spelling of 820831072 in words is "eight hundred twenty million, eight hundred thirty-one thousand, seventy-two".