78768 has 30 divisors (see below), whose sum is σ = 220844. Its totient is φ = 26208.

The previous prime is 78737. The next prime is 78779. The reversal of 78768 is 86787.

It is a happy number.

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

It is a zygodrome in base 3.

It is an unprimeable number.

78768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130 + ... + 417.

2⁷⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

78768 is an abundant number, since it is smaller than the sum of its proper divisors (142076).

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

78768 is a wasteful number, since it uses less digits than its factorization.

78768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

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

The square root of 78768 is about 280.6563735246. The cubic root of 78768 is about 42.8663599224.

The spelling of 78768 in words is "seventy-eight thousand, seven hundred sixty-eight".