680407200 has 432 divisors, whose sum is σ = 2676203712. Its totient is φ = 162624000.

The previous prime is 680407187. The next prime is 680407213. The reversal of 680407200 is 2704086.

It is an interprime number because it is at equal distance from previous prime (680407187) and next prime (680407213).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9583165 + ... + 9583235.

It is an arithmetic number, because the mean of its divisors is an integer number (6194916).

Almost surely, 2^680407200 is an apocalyptic number.

680407200 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 680407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338101856).

680407200 is an abundant number, since it is smaller than the sum of its proper divisors (1995796512).

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

680407200 is a wasteful number, since it uses less digits than its factorization.

680407200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 680407200 is about 26084.6161558877. The cubic root of 680407200 is about 879.5414277440.

The spelling of 680407200 in words is "six hundred eighty million, four hundred seven thousand, two hundred".