872079936 has 448 divisors, whose sum is σ = 3113349120. Its totient is φ = 209018880.

The previous prime is 872079911. The next prime is 872079953. The reversal of 872079936 is 639970278.

872079936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×872079936³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12282781 + ... + 12282851.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^872079936 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 872079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556674560).

872079936 is an abundant number, since it is smaller than the sum of its proper divisors (2241269184).

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

872079936 is a wasteful number, since it uses less digits than its factorization.

872079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 872079936 is about 29530.9995767160. Note that the first 3 decimals coincide. The cubic root of 872079936 is about 955.4004281878.

The spelling of 872079936 in words is "eight hundred seventy-two million, seventy-nine thousand, nine hundred thirty-six".