872976000 has 256 divisors, whose sum is σ = 3118752000. Its totient is φ = 214732800.

The previous prime is 872975969. The next prime is 872976037. The reversal of 872976000 is 679278.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 872976000.

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, 623301 + ... + 624699.

It is an arithmetic number, because the mean of its divisors is an integer number (12182625).

Almost surely, 2^872976000 is an apocalyptic number.

872976000 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 872976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559376000).

872976000 is an abundant number, since it is smaller than the sum of its proper divisors (2245776000).

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

872976000 is a wasteful number, since it uses less digits than its factorization.

872976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 872976000 is about 29546.1672641309. The cubic root of 872976000 is about 955.7275415048.

The spelling of 872976000 in words is "eight hundred seventy-two million, nine hundred seventy-six thousand".