782432 has 36 divisors (see below), whose sum is σ = 1795500. Its totient is φ = 334656.

The previous prime is 782429. The next prime is 782443. The reversal of 782432 is 234287.

It is a super-2 number, since 2×782432² = 1224399669248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1319 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (49875).

2⁷⁸²⁴³² 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 782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897750).

782432 is an abundant number, since it is smaller than the sum of its proper divisors (1013068).

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

782432 is a wasteful number, since it uses less digits than its factorization.

782432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 782432 is about 884.5518639402. The cubic root of 782432 is about 92.1472123300.

The spelling of 782432 in words is "seven hundred eighty-two thousand, four hundred thirty-two".