678832 has 80 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 241920.

The previous prime is 678829. The next prime is 678833. The reversal of 678832 is 238876.

It is a happy number.

678832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (678833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23394 + ... + 23422.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁶⁷⁸⁸³² 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 678832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

678832 is an abundant number, since it is smaller than the sum of its proper divisors (1106768).

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

678832 is a wasteful number, since it uses less digits than its factorization.

678832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 678832 is about 823.9126167258. The cubic root of 678832 is about 87.8862165786.

The spelling of 678832 in words is "six hundred seventy-eight thousand, eight hundred thirty-two".