78096 has 20 divisors (see below), whose sum is σ = 201872. Its totient is φ = 26016.

The previous prime is 78079. The next prime is 78101. The reversal of 78096 is 69087.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 766 + ... + 861.

2⁷⁸⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

78096 is an abundant number, since it is smaller than the sum of its proper divisors (123776).

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 (100936).

78096 is a wasteful number, since it uses less digits than its factorization.

78096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 78096 is about 279.4566155953. The cubic root of 78096 is about 42.7441084867.

Subtracting from 78096 its reverse (69087), we obtain a palindrome (9009).

The spelling of 78096 in words is "seventy-eight thousand, ninety-six".