687962880 has 432 divisors, whose sum is σ = 2668891680. Its totient is φ = 162201600.

The previous prime is 687962879. The next prime is 687962893. The reversal of 687962880 is 88269786.

687962880 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 628 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7729876 + ... + 7729964.

It is an arithmetic number, because the mean of its divisors is an integer number (6177990).

Almost surely, 2^687962880 is an apocalyptic number.

687962880 is a gapful number since it is divisible by the number (60) 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 687962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334445840).

687962880 is an abundant number, since it is smaller than the sum of its proper divisors (1980928800).

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

687962880 is a wasteful number, since it uses less digits than its factorization.

687962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 687962880 is about 26229.0464942971. The cubic root of 687962880 is about 882.7851154718.

The spelling of 687962880 in words is "six hundred eighty-seven million, nine hundred sixty-two thousand, eight hundred eighty".