78924 has 12 divisors (see below), whose sum is σ = 184184. Its totient is φ = 26304.

The previous prime is 78919. The next prime is 78929. The reversal of 78924 is 42987.

It is an interprime number because it is at equal distance from previous prime (78919) and next prime (78929).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 78891 and 78900.

It is not an unprimeable number, because it can be changed into a prime (78929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3277 + ... + 3300.

2⁷⁸⁹²⁴ is an apocalyptic number.

It is an amenable number.

78924 is an abundant number, since it is smaller than the sum of its proper divisors (105260).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92092).

78924 is a wasteful number, since it uses less digits than its factorization.

78924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6582 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 78924 is about 280.9341559868. The cubic root of 78924 is about 42.8946401985.

Subtracting from 78924 its reverse (42987), we obtain a cube (35937 = 33³).

The spelling of 78924 in words is "seventy-eight thousand, nine hundred twenty-four".