870960000 has 320 divisors, whose sum is σ = 3059020800. Its totient is φ = 218880000.

The previous prime is 870959989. The next prime is 870960011. The reversal of 870960000 is 69078.

It is a happy number.

870960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (870959989) and next prime (870960011).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 870960000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4559905 + ... + 4560095.

It is an arithmetic number, because the mean of its divisors is an integer number (9559440).

Almost surely, 2^870960000 is an apocalyptic number.

870960000 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 870960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529510400).

870960000 is an abundant number, since it is smaller than the sum of its proper divisors (2188060800).

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

870960000 is a wasteful number, since it uses less digits than its factorization.

870960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 870960000 is about 29512.0314448192. The cubic root of 870960000 is about 954.9912739168.

The spelling of 870960000 in words is "eight hundred seventy million, nine hundred sixty thousand".