78792 has 48 divisors (see below), whose sum is σ = 232560. Its totient is φ = 22176.

The previous prime is 78791. The next prime is 78797. The reversal of 78792 is 29787.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (78791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (4845).

2⁷⁸⁷⁹² 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 78792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280).

78792 is an abundant number, since it is smaller than the sum of its proper divisors (153768).

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

78792 is a wasteful number, since it uses less digits than its factorization.

78792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 78792 is about 280.6991271807. The cubic root of 78792 is about 42.8707131630.

It can be divided in two parts, 78 and 792, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 78792 in words is "seventy-eight thousand, seven hundred ninety-two".