680757 has 24 divisors (see below), whose sum is σ = 1154592. Its totient is φ = 352800.

The previous prime is 680749. The next prime is 680759. The reversal of 680757 is 757086.

680757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 680757 - 2³ = 680749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680757.

It is not an unprimeable number, because it can be changed into a prime (680759) 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, 1407 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (48108).

2⁶⁸⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

680757 is a deficient number, since it is larger than the sum of its proper divisors (473835).

680757 is a wasteful number, since it uses less digits than its factorization.

680757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 680757 is about 825.0799961216. The cubic root of 680757 is about 87.9692127150.

The spelling of 680757 in words is "six hundred eighty thousand, seven hundred fifty-seven".