78504 has 16 divisors (see below), whose sum is σ = 196320. Its totient is φ = 26160.

The previous prime is 78497. The next prime is 78509. The reversal of 78504 is 40587.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3271 = 78504 / (7 + 8 + 5 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (78509) 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, 1612 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (12270).

2⁷⁸⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

78504 is an abundant number, since it is smaller than the sum of its proper divisors (117816).

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 (98160).

78504 is a wasteful number, since it uses less digits than its factorization.

78504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 78504 is about 280.1856527376. The cubic root of 78504 is about 42.8184158092.

The spelling of 78504 in words is "seventy-eight thousand, five hundred four".