870868320 has 384 divisors, whose sum is σ = 3344302080. Its totient is φ = 186193920.

The previous prime is 870868301. The next prime is 870868403. The reversal of 870868320 is 23868078.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4559425 + ... + 4559615.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2^870868320 is an apocalyptic number.

870868320 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 870868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672151040).

870868320 is an abundant number, since it is smaller than the sum of its proper divisors (2473433760).

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

870868320 is a wasteful number, since it uses less digits than its factorization.

870868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 870868320 is about 29510.4781391288. The cubic root of 870868320 is about 954.9577642752.

It can be divided in two parts, 8708 and 68320, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 870868320 in words is "eight hundred seventy million, eight hundred sixty-eight thousand, three hundred twenty".