872291760 has 160 divisors (see below), whose sum is σ = 2906813952. Its totient is φ = 215592960.

The previous prime is 872291731. The next prime is 872291779. The reversal of 872291760 is 67192278.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271765 + ... + 274955.

Almost surely, 2^872291760 is an apocalyptic number.

872291760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453406976).

872291760 is an abundant number, since it is smaller than the sum of its proper divisors (2034522192).

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

872291760 is a wasteful number, since it uses less digits than its factorization.

872291760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 872291760 is about 29534.5858274668. The cubic root of 872291760 is about 955.4777759739.

The spelling of 872291760 in words is "eight hundred seventy-two million, two hundred ninety-one thousand, seven hundred sixty".