683680800 has 576 divisors, whose sum is σ = 2699827200. Its totient is φ = 148377600.

The previous prime is 683680793. The next prime is 683680801. The reversal of 683680800 is 8086386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683680801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14546377 + ... + 14546423.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^683680800 is an apocalyptic number.

683680800 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 683680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

683680800 is an abundant number, since it is smaller than the sum of its proper divisors (2016146400).

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

683680800 is a wasteful number, since it uses less digits than its factorization.

683680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 683680800 is about 26147.2904906034. The cubic root of 683680800 is about 880.9497322169.

The spelling of 683680800 in words is "six hundred eighty-three million, six hundred eighty thousand, eight hundred".