78324 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 25440.

The previous prime is 78317. The next prime is 78341. The reversal of 78324 is 42387.

It is a super-2 number, since 2×78324² = 12269297952, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁴ + 8 + 3⁷ + 2¹³ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 78294 and 78303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁸³²⁴ is an apocalyptic number.

It is an amenable number.

78324 is an abundant number, since it is smaller than the sum of its proper divisors (109164).

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 (93744).

78324 is a wasteful number, since it uses less digits than its factorization.

78324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

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

The square root of 78324 is about 279.8642528084. The cubic root of 78324 is about 42.7856649812.

Subtracting from 78324 its reverse (42387), we obtain a cube (35937 = 33³).

The spelling of 78324 in words is "seventy-eight thousand, three hundred twenty-four".