870980000 has 240 divisors, whose sum is σ = 2423149344. Its totient is φ = 305280000.

The previous prime is 870979981. The next prime is 870980039. The reversal of 870980000 is 89078.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 8139947 + ... + 8140053.

Almost surely, 2^870980000 is an apocalyptic number.

870980000 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 870980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211574672).

870980000 is an abundant number, since it is smaller than the sum of its proper divisors (1552169344).

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

870980000 is a wasteful number, since it uses less digits than its factorization.

870980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 870980000 is about 29512.3702877285. The cubic root of 870980000 is about 954.9985837356.

The spelling of 870980000 in words is "eight hundred seventy million, nine hundred eighty thousand".