78024 has 16 divisors (see below), whose sum is σ = 195120. Its totient is φ = 26000.

The previous prime is 78017. The next prime is 78031. The reversal of 78024 is 42087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78017) and next prime (78031).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

78024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1602 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (12195).

2⁷⁸⁰²⁴ is an apocalyptic number.

It is an amenable number.

78024 is an abundant number, since it is smaller than the sum of its proper divisors (117096).

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 (97560).

78024 is a wasteful number, since it uses less digits than its factorization.

78024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 78024 is about 279.3277644632. The cubic root of 78024 is about 42.7309685816.

Subtracting from 78024 its reverse (42087), we obtain a cube (35937 = 33³).

The spelling of 78024 in words is "seventy-eight thousand, twenty-four".