860102880 has 576 divisors, whose sum is σ = 3547333440. Its totient is φ = 173408256.

The previous prime is 860102861. The next prime is 860102891. The reversal of 860102880 is 88201068.

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, 8866992 + ... + 8867088.

It is an arithmetic number, because the mean of its divisors is an integer number (6158565).

Almost surely, 2^860102880 is an apocalyptic number.

860102880 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 860102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773666720).

860102880 is an abundant number, since it is smaller than the sum of its proper divisors (2687230560).

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

860102880 is a wasteful number, since it uses less digits than its factorization.

860102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 860102880 is about 29327.5106342151. The cubic root of 860102880 is about 951.0064605859.

It can be divided in two parts, 860 and 102880, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 860102880 in words is "eight hundred sixty million, one hundred two thousand, eight hundred eighty".