78078 has 48 divisors (see below), whose sum is σ = 210816. Its totient is φ = 18720.

The previous prime is 78059. The next prime is 78079. The reversal of 78078 is 87087.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6000 + ... + 6012.

It is an arithmetic number, because the mean of its divisors is an integer number (4392).

2⁷⁸⁰⁷⁸ is an apocalyptic number.

78078 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105408).

78078 is an abundant number, since it is smaller than the sum of its proper divisors (132738).

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

78078 is a wasteful number, since it uses less digits than its factorization.

78078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 78078 is about 279.4244083827. The cubic root of 78078 is about 42.7408242678.

Subtracting 78078 from its reverse (87087), we obtain a palindrome (9009).

It can be divided in two parts, 780 and 78, that added together give a palindrome (858).

The spelling of 78078 in words is "seventy-eight thousand, seventy-eight".