78204 has 48 divisors (see below), whose sum is σ = 224000. Its totient is φ = 21168.

The previous prime is 78203. The next prime is 78229. The reversal of 78204 is 40287.

It is a happy number.

78204 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×78204² = 12231731232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78204.

It is not an unprimeable number, because it can be changed into a prime (78203) 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, 4107 + ... + 4125.

2⁷⁸²⁰⁴ 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 78204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112000).

78204 is an abundant number, since it is smaller than the sum of its proper divisors (145796).

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

78204 is a wasteful number, since it uses less digits than its factorization.

78204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 31 counting only the distinct ones).

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

The square root of 78204 is about 279.6497809761. The cubic root of 78204 is about 42.7638032100.

It can be divided in two parts, 78 and 204, that added together give a palindrome (282).

The spelling of 78204 in words is "seventy-eight thousand, two hundred four".