680983200 has 432 divisors, whose sum is σ = 2593334016. Its totient is φ = 174182400.

The previous prime is 680983159. The next prime is 680983213. The reversal of 680983200 is 2389086.

It is a tau number, because it is divible by the number of its divisors (432).

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, 6026344 + ... + 6026456.

It is an arithmetic number, because the mean of its divisors is an integer number (6003088).

Almost surely, 2^680983200 is an apocalyptic number.

680983200 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 680983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

680983200 is an abundant number, since it is smaller than the sum of its proper divisors (1912350816).

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

680983200 is a wasteful number, since it uses less digits than its factorization.

680983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 680983200 is about 26095.6548107151. The cubic root of 680983200 is about 879.7895502264.

It can be divided in two parts, 6809 and 83200, that added together give a palindrome (90009).

The spelling of 680983200 in words is "six hundred eighty million, nine hundred eighty-three thousand, two hundred".