80832 has 28 divisors (see below), whose sum is σ = 214376. Its totient is φ = 26880.

The previous prime is 80831. The next prime is 80833. The reversal of 80832 is 23808.

It is an interprime number because it is at equal distance from previous prime (80831) and next prime (80833).

It is a junction number, because it is equal to n+sod(n) for n = 80799 and 80808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80831) 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, 19 + ... + 402.

2⁸⁰⁸³² 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 80832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107188).

80832 is an abundant number, since it is smaller than the sum of its proper divisors (133544).

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

80832 is a wasteful number, since it uses less digits than its factorization.

80832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80832 is about 284.3096903027. The cubic root of 80832 is about 43.2375530801.

The spelling of 80832 in words is "eighty thousand, eight hundred thirty-two".