78864 has 40 divisors (see below), whose sum is σ = 214272. Its totient is φ = 24960.

The previous prime is 78857. The next prime is 78877. The reversal of 78864 is 46887.

Added to its reverse (46887) it gives a triangular number (125751 = T₅₀₁).

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 7 ways as a sum of consecutive naturals, for example, 1462 + ... + 1514.

2⁷⁸⁸⁶⁴ 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 78864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

78864 is an abundant number, since it is smaller than the sum of its proper divisors (135408).

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

78864 is a wasteful number, since it uses less digits than its factorization.

78864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 78864 is about 280.8273490955. The cubic root of 78864 is about 42.8837675831.

Adding to 78864 its reverse (46887), we get a triangular number (125751 = T₅₀₁).

The spelling of 78864 in words is "seventy-eight thousand, eight hundred sixty-four".