870918720 has 448 divisors, whose sum is σ = 3379622400. Its totient is φ = 185794560.

The previous prime is 870918707. The next prime is 870918757. The reversal of 870918720 is 27819078.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7990026 + ... + 7990134.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^870918720 is an apocalyptic number.

870918720 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 870918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

870918720 is an abundant number, since it is smaller than the sum of its proper divisors (2508703680).

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

870918720 is a wasteful number, since it uses less digits than its factorization.

870918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 870918720 is about 29511.3320607525. The cubic root of 870918720 is about 954.9761860970.

The spelling of 870918720 in words is "eight hundred seventy million, nine hundred eighteen thousand, seven hundred twenty".