870768360 has 512 divisors, whose sum is σ = 3729715200. Its totient is φ = 175426560.

The previous prime is 870768343. The next prime is 870768377. The reversal of 870768360 is 63867078.

It is an interprime number because it is at equal distance from previous prime (870768343) and next prime (870768377).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3076779 + ... + 3077061.

It is an arithmetic number, because the mean of its divisors is an integer number (7284600).

Almost surely, 2^870768360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864857600).

870768360 is an abundant number, since it is smaller than the sum of its proper divisors (2858946840).

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

870768360 is a wasteful number, since it uses less digits than its factorization.

870768360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

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

The square root of 870768360 is about 29508.7844548026. The cubic root of 870768360 is about 954.9212255592.

The spelling of 870768360 in words is "eight hundred seventy million, seven hundred sixty-eight thousand, three hundred sixty".