78876 has 36 divisors (see below), whose sum is σ = 228592. Its totient is φ = 22464.

The previous prime is 78857. The next prime is 78877. The reversal of 78876 is 67887.

It is a happy number.

78876 is nontrivially palindromic in base 5.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78877) 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 11 ways as a sum of consecutive naturals, for example, 96 + ... + 408.

2⁷⁸⁸⁷⁶ 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 78876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114296).

78876 is an abundant number, since it is smaller than the sum of its proper divisors (149716).

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

78876 is a wasteful number, since it uses less digits than its factorization.

78876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 78876 is about 280.8487137232. The cubic root of 78876 is about 42.8859425472.

The spelling of 78876 in words is "seventy-eight thousand, eight hundred seventy-six".