766432 has 24 divisors (see below), whose sum is σ = 1546776. Its totient is φ = 373632.

The previous prime is 766421. The next prime is 766439. The reversal of 766432 is 234667.

766432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 766432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1098 + ... + 1654.

It is an arithmetic number, because the mean of its divisors is an integer number (64449).

2⁷⁶⁶⁴³² 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 766432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773388).

766432 is an abundant number, since it is smaller than the sum of its proper divisors (780344).

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

766432 is a wasteful number, since it uses less digits than its factorization.

766432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 766432 is about 875.4610214053. The cubic root of 766432 is about 91.5147736106.

Subtracting from 766432 its product of digits (6048), we obtain a square (760384 = 872²).

The spelling of 766432 in words is "seven hundred sixty-six thousand, four hundred thirty-two".