872522880 has 128 divisors (see below), whose sum is σ = 2803204800. Its totient is φ = 230830080.

The previous prime is 872522879. The next prime is 872522887. The reversal of 872522880 is 88225278.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×872522880² = 1522592352246988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872522887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249786 + ... + 253254.

Almost surely, 2^872522880 is an apocalyptic number.

872522880 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 872522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401602400).

872522880 is an abundant number, since it is smaller than the sum of its proper divisors (1930681920).

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

872522880 is a wasteful number, since it uses less digits than its factorization.

872522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 872522880 is about 29538.4982692079. The cubic root of 872522880 is about 955.5621554339.

The spelling of 872522880 in words is "eight hundred seventy-two million, five hundred twenty-two thousand, eight hundred eighty".