780432 has 40 divisors (see below), whose sum is σ = 2053440. Its totient is φ = 255360.

The previous prime is 780421. The next prime is 780433. The reversal of 780432 is 234087.

780432 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780433) by changing a digit.

780432 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 7 ways as a sum of consecutive naturals, for example, 3294 + ... + 3522.

It is an arithmetic number, because the mean of its divisors is an integer number (51336).

2⁷⁸⁰⁴³² 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 780432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026720).

780432 is an abundant number, since it is smaller than the sum of its proper divisors (1273008).

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

780432 is a wasteful number, since it uses less digits than its factorization.

780432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 780432 is about 883.4206246177. The cubic root of 780432 is about 92.0686318378.

The spelling of 780432 in words is "seven hundred eighty thousand, four hundred thirty-two".