680760 has 96 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 172800.

The previous prime is 680759. The next prime is 680767. The reversal of 680760 is 67086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11130 + ... + 11190.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁶⁸⁰⁷⁶⁰ is an apocalyptic number.

680760 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 680760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

680760 is an abundant number, since it is smaller than the sum of its proper divisors (1640520).

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

680760 is a wasteful number, since it uses less digits than its factorization.

680760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 680760 is about 825.0818141251. The cubic root of 680760 is about 87.9693419374.

The spelling of 680760 in words is "six hundred eighty thousand, seven hundred sixty".