870178590720 has 624 divisors, whose sum is σ = 3161410417152. Its totient is φ = 221113221120.

The previous prime is 870178590683. The next prime is 870178590727. The reversal of 870178590720 is 27095871078.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (870178590727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382831504 + ... + 382833776.

It is an arithmetic number, because the mean of its divisors is an integer number (5066362848).

Almost surely, 2^870178590720 is an apocalyptic number.

870178590720 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 870178590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705208576).

870178590720 is an abundant number, since it is smaller than the sum of its proper divisors (2291231826432).

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

870178590720 is a wasteful number, since it uses less digits than its factorization.

870178590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 870178590720 in words is "eight hundred seventy billion, one hundred seventy-eight million, five hundred ninety thousand, seven hundred twenty".