680887200 has 144 divisors (see below), whose sum is σ = 2532962880. Its totient is φ = 155627520.

The previous prime is 680887187. The next prime is 680887267. The reversal of 680887200 is 2788086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3465 + ... + 37064.

It is an arithmetic number, because the mean of its divisors is an integer number (17590020).

Almost surely, 2^680887200 is an apocalyptic number.

680887200 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 680887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266481440).

680887200 is an abundant number, since it is smaller than the sum of its proper divisors (1852075680).

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

680887200 is a wasteful number, since it uses less digits than its factorization.

680887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40559 (or 40546 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 680887200 is about 26093.8153591996. The cubic root of 680887200 is about 879.7482061982.

The spelling of 680887200 in words is "six hundred eighty million, eight hundred eighty-seven thousand, two hundred".