870912000 has 624 divisors, whose sum is σ = 3720941952. Its totient is φ = 199065600.

The previous prime is 870911983. The next prime is 870912017. The reversal of 870912000 is 219078.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 5! ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (870911983) and next prime (870912017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415997 + ... + 124416003.

It is an arithmetic number, because the mean of its divisors is an integer number (5963048).

Almost surely, 2^870912000 is an apocalyptic number.

870912000 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 870912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860470976).

870912000 is an abundant number, since it is smaller than the sum of its proper divisors (2850029952).

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

870912000 is an frugal number, since it uses more digits than its factorization.

870912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 870912000 is about 29511.2182059636. The cubic root of 870912000 is about 954.9737298951.

The spelling of 870912000 in words is "eight hundred seventy million, nine hundred twelve thousand".