766689 has 16 divisors (see below), whose sum is σ = 1274880. Its totient is φ = 398160.

The previous prime is 766687. The next prime is 766721. The reversal of 766689 is 986667.

It is a happy number.

766689 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766689 - 2¹ = 766687 is a prime.

766689 is strictly pandigital in base 7.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 766689.

It is not an unprimeable number, because it can be changed into a prime (766687) 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, 1429 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (79680).

2⁷⁶⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

766689 is a deficient number, since it is larger than the sum of its proper divisors (508191).

766689 is a wasteful number, since it uses less digits than its factorization.

766689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340.

The product of its digits is 108864, while the sum is 42.

The square root of 766689 is about 875.6077889101. The cubic root of 766689 is about 91.5250013797.

The spelling of 766689 in words is "seven hundred sixty-six thousand, six hundred eighty-nine".