870712934400 has 663 divisors, whose sum is σ = 3239025372361. Its totient is φ = 232190115840.

The previous prime is 870712934383. The next prime is 870712934417. The reversal of 870712934400 is 4439217078.

The square root of 870712934400 is 933120.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (3!)⁸.

870712934400 is a `hidden beast` number, since 87 + 0 + 7 + 129 + 3 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (870712934383) and next prime (870712934417).

It can be written as a sum of positive squares in only one way, i.e., 313456656384 + 557256278016 = 559872^2 + 746496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 174142586878 + ... + 174142586882.

Almost surely, 2^870712934400 is an apocalyptic number.

870712934400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

870712934400 is the 933120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870712934400

870712934400 is an abundant number, since it is smaller than the sum of its proper divisors (2368312437961).

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

870712934400 is an frugal number, since it uses more digits than its factorization.

870712934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 870712934400 in words is "eight hundred seventy billion, seven hundred twelve million, nine hundred thirty-four thousand, four hundred".