872411904 has 576 divisors, whose sum is σ = 3388134400. Its totient is φ = 214990848.

The previous prime is 872411893. The next prime is 872411927. The reversal of 872411904 is 409114278.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×872411904² = 1522205060481810432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 11950812 + ... + 11950884.

Almost surely, 2^872411904 is an apocalyptic number.

872411904 is a gapful number since it is divisible by the number (84) 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 872411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694067200).

872411904 is an abundant number, since it is smaller than the sum of its proper divisors (2515722496).

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

872411904 is a wasteful number, since it uses less digits than its factorization.

872411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 872411904 is about 29536.6197118086. The cubic root of 872411904 is about 955.5216411335.

The spelling of 872411904 in words is "eight hundred seventy-two million, four hundred eleven thousand, nine hundred four".