78832 has 20 divisors (see below), whose sum is σ = 164920. Its totient is φ = 36288.

The previous prime is 78823. The next prime is 78839. The reversal of 78832 is 23887.

It is a happy number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 78832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78839) 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 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2⁷⁸⁸³² 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 78832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460).

78832 is an abundant number, since it is smaller than the sum of its proper divisors (86088).

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

78832 is a wasteful number, since it uses less digits than its factorization.

78832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 78832 is about 280.7703688070. The cubic root of 78832 is about 42.8779665999.

Subtracting from 78832 its reverse (23887), we obtain a palindrome (54945).

It can be divided in two parts, 788 and 32, that added together give a triangular number (820 = T₄₀).

The spelling of 78832 in words is "seventy-eight thousand, eight hundred thirty-two".