78156 has 36 divisors (see below), whose sum is σ = 214032. Its totient is φ = 23904.

The previous prime is 78139. The next prime is 78157. The reversal of 78156 is 65187.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×78156² = 12216720672, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78156.

It is not an unprimeable number, because it can be changed into a prime (78157) by changing a digit.

78156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 385 + ... + 551.

2⁷⁸¹⁵⁶ 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 78156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016).

78156 is an abundant number, since it is smaller than the sum of its proper divisors (135876).

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

78156 is a wasteful number, since it uses less digits than its factorization.

78156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 78156 is about 279.5639461733. The cubic root of 78156 is about 42.7550522397.

The spelling of 78156 in words is "seventy-eight thousand, one hundred fifty-six".