870760800 has 576 divisors, whose sum is σ = 3884751360. Its totient is φ = 183306240.

The previous prime is 870760783. The next prime is 870760817. The reversal of 870760800 is 8067078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (870760783) and next prime (870760817).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1965379 + ... + 1965821.

It is an arithmetic number, because the mean of its divisors is an integer number (6744360).

Almost surely, 2^870760800 is an apocalyptic number.

870760800 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 870760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942375680).

870760800 is an abundant number, since it is smaller than the sum of its proper divisors (3013990560).

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

870760800 is a wasteful number, since it uses less digits than its factorization.

870760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 870760800 is about 29508.6563570760. The cubic root of 870760800 is about 954.9184620132.

The spelling of 870760800 in words is "eight hundred seventy million, seven hundred sixty thousand, eight hundred".