766164 has 36 divisors (see below), whose sum is σ = 2081184. Its totient is φ = 218736.

The previous prime is 766163. The next prime is 766169. The reversal of 766164 is 461667.

766164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 1239.

2⁷⁶⁶¹⁶⁴ 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 766164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040592).

766164 is an abundant number, since it is smaller than the sum of its proper divisors (1315020).

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

766164 is a wasteful number, since it uses less digits than its factorization.

766164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 766164 is about 875.3079458111. The cubic root of 766164 is about 91.5041056416.

The spelling of 766164 in words is "seven hundred sixty-six thousand, one hundred sixty-four".