680838720 has 112 divisors (see below), whose sum is σ = 2170468608. Its totient is φ = 180817920.

The previous prime is 680838707. The next prime is 680838727. The reversal of 680838720 is 27838086.

It is not an unprimeable number, because it can be changed into a prime (680838727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258852 + ... + 261468.

It is an arithmetic number, because the mean of its divisors is an integer number (19379184).

Almost surely, 2^680838720 is an apocalyptic number.

680838720 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 680838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085234304).

680838720 is an abundant number, since it is smaller than the sum of its proper divisors (1489629888).

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

680838720 is a wasteful number, since it uses less digits than its factorization.

680838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 680838720 is about 26092.8863869063. The cubic root of 680838720 is about 879.7273259871.

The spelling of 680838720 in words is "six hundred eighty million, eight hundred thirty-eight thousand, seven hundred twenty".