872264320 has 64 divisors (see below), whose sum is σ = 2157208200. Its totient is φ = 336867328.

The previous prime is 872264287. The next prime is 872264377. The reversal of 872264320 is 23462278.

It can be written as a sum of positive squares in 4 ways, for example, as 695693376 + 176570944 = 26376^2 + 13288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4939 + ... + 42058.

Almost surely, 2^872264320 is an apocalyptic number.

872264320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

872264320 is an abundant number, since it is smaller than the sum of its proper divisors (1284943880).

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

872264320 is a wasteful number, since it uses less digits than its factorization.

872264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47045 (or 47033 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 872264320 is about 29534.1212836949. The cubic root of 872264320 is about 955.4677569312.

The spelling of 872264320 in words is "eight hundred seventy-two million, two hundred sixty-four thousand, three hundred twenty".