680766 has 16 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 224024.

The previous prime is 680759. The next prime is 680767. The reversal of 680766 is 667086.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

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

680766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 186 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2⁶⁸⁰⁷⁶⁶ is an apocalyptic number.

680766 is an abundant number, since it is smaller than the sum of its proper divisors (698178).

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

680766 is a wasteful number, since it uses less digits than its factorization.

680766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 680766 is about 825.0854501202. The cubic root of 680766 is about 87.9696003812.

The spelling of 680766 in words is "six hundred eighty thousand, seven hundred sixty-six".