766332 has 36 divisors (see below), whose sum is σ = 2214576. Its totient is φ = 218880.

The previous prime is 766321. The next prime is 766333. The reversal of 766332 is 233667.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 766296 and 766305.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766332.

It is not an unprimeable number, because it can be changed into a prime (766333) 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, 1269 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

2⁷⁶⁶³³² is an apocalyptic number.

It is an amenable number.

766332 is an abundant number, since it is smaller than the sum of its proper divisors (1448244).

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

766332 is a wasteful number, since it uses less digits than its factorization.

766332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3053 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 766332 is about 875.4039067768. The cubic root of 766332 is about 91.5107933160.

Adding to 766332 its reverse (233667), we get a palindrome (999999).

The spelling of 766332 in words is "seven hundred sixty-six thousand, three hundred thirty-two".