766688 has 48 divisors (see below), whose sum is σ = 1728720. Its totient is φ = 331776.

The previous prime is 766687. The next prime is 766721. The reversal of 766688 is 886667.

766688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7856 + ... + 7952.

It is an arithmetic number, because the mean of its divisors is an integer number (36015).

2⁷⁶⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864360).

766688 is an abundant number, since it is smaller than the sum of its proper divisors (962032).

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

766688 is a wasteful number, since it uses less digits than its factorization.

766688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 766688 is about 875.6072178780. The cubic root of 766688 is about 91.5249615873.

The spelling of 766688 in words is "seven hundred sixty-six thousand, six hundred eighty-eight".