766908 has 42 divisors (see below), whose sum is σ = 2019864. Its totient is φ = 254664.

The previous prime is 766907. The next prime is 766937. The reversal of 766908 is 809667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2785 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (48092).

2⁷⁶⁶⁹⁰⁸ 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 766908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009932).

766908 is an abundant number, since it is smaller than the sum of its proper divisors (1252956).

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

766908 is a wasteful number, since it uses less digits than its factorization.

766908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 766908 is about 875.7328359723. The cubic root of 766908 is about 91.5337150681.

The spelling of 766908 in words is "seven hundred sixty-six thousand, nine hundred eight".