680785200 has 360 divisors, whose sum is σ = 2563563600. Its totient is φ = 166717440.

The previous prime is 680785139. The next prime is 680785229. The reversal of 680785200 is 2587086.

680785200 is a `hidden beast` number, since 68 + 0 + 78 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2530666 + ... + 2530934.

It is an arithmetic number, because the mean of its divisors is an integer number (7121010).

Almost surely, 2^680785200 is an apocalyptic number.

680785200 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 680785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281781800).

680785200 is an abundant number, since it is smaller than the sum of its proper divisors (1882778400).

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

680785200 is a wasteful number, since it uses less digits than its factorization.

680785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 680785200 is about 26091.8607998740. The cubic root of 680785200 is about 879.7042739099.

The spelling of 680785200 in words is "six hundred eighty million, seven hundred eighty-five thousand, two hundred".