782532 has 18 divisors (see below), whose sum is σ = 1978158. Its totient is φ = 260832.

The previous prime is 782519. The next prime is 782539. The reversal of 782532 is 235287.

782532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 298116 = 696^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×782532² = 1224712662048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782496 and 782505.

It is not an unprimeable number, because it can be changed into a prime (782539) by changing a digit.

782532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10833 + ... + 10904.

2⁷⁸²⁵³² is an apocalyptic number.

It is an amenable number.

782532 is an abundant number, since it is smaller than the sum of its proper divisors (1195626).

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

782532 is a wasteful number, since it uses less digits than its factorization.

782532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21747 (or 21742 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 782532 is about 884.6083879322. The cubic root of 782532 is about 92.1511378378.

The spelling of 782532 in words is "seven hundred eighty-two thousand, five hundred thirty-two".