680751 has 16 divisors (see below), whose sum is σ = 1062400. Its totient is φ = 429624.

The previous prime is 680749. The next prime is 680759. The reversal of 680751 is 157086.

It is not a de Polignac number, because 680751 - 2¹ = 680749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

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 680751.

It is not an unprimeable number, because it can be changed into a prime (680759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (66400).

2⁶⁸⁰⁷⁵¹ is an apocalyptic number.

680751 is a deficient number, since it is larger than the sum of its proper divisors (381649).

680751 is a wasteful number, since it uses less digits than its factorization.

680751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 680751 is about 825.0763601025. The cubic root of 680751 is about 87.9689542690.

It can be divided in two parts, 680 and 751, that added together give a triangular number (1431 = T₅₃).

The spelling of 680751 in words is "six hundred eighty thousand, seven hundred fifty-one".