870408000 has 672 divisors, whose sum is σ = 3906609408. Its totient is φ = 179712000.

The previous prime is 870407999. The next prime is 870408013. The reversal of 870408000 is 804078.

It is a happy number.

870408000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×870408000² = 1515220172928000000, which contains 22 as substring.

It is a congruent number.

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, 5543922 + ... + 5544078.

Almost surely, 2^870408000 is an apocalyptic number.

870408000 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 870408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953304704).

870408000 is an abundant number, since it is smaller than the sum of its proper divisors (3036201408).

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

870408000 is a wasteful number, since it uses less digits than its factorization.

870408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 870408000 is about 29502.6778445618. The cubic root of 870408000 is about 954.7894787368.

The spelling of 870408000 in words is "eight hundred seventy million, four hundred eight thousand".