864072792 has 128 divisors (see below), whose sum is σ = 2628288000. Its totient is φ = 260853120.

The previous prime is 864072791. The next prime is 864072817. The reversal of 864072792 is 297270468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864072791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852478 + ... + 853490.

It is an arithmetic number, because the mean of its divisors is an integer number (20533500).

Almost surely, 2^864072792 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 864072792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314144000).

864072792 is an abundant number, since it is smaller than the sum of its proper divisors (1764215208).

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

864072792 is a wasteful number, since it uses less digits than its factorization.

864072792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 864072792 is about 29395.1151043843. The cubic root of 864072792 is about 952.4673781375.

The spelling of 864072792 in words is "eight hundred sixty-four million, seventy-two thousand, seven hundred ninety-two".