870056880 has 480 divisors, whose sum is σ = 3554772480. Its totient is φ = 170987520.

The previous prime is 870056861. The next prime is 870056909. The reversal of 870056880 is 88650078.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9775876 + ... + 9775964.

It is an arithmetic number, because the mean of its divisors is an integer number (7405776).

Almost surely, 2^870056880 is an apocalyptic number.

870056880 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 870056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777386240).

870056880 is an abundant number, since it is smaller than the sum of its proper divisors (2684715600).

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

870056880 is a wasteful number, since it uses less digits than its factorization.

870056880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 870056880 is about 29496.7265980481. The cubic root of 870056880 is about 954.6610750568.

The spelling of 870056880 in words is "eight hundred seventy million, fifty-six thousand, eight hundred eighty".