78092 has 12 divisors (see below), whose sum is σ = 156240. Its totient is φ = 33456.

The previous prime is 78079. The next prime is 78101. The reversal of 78092 is 29087.

78092 is an admirable number.

It is a nialpdrome in base 5.

It is an unprimeable number.

78092 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 3 ways as a sum of consecutive naturals, for example, 1367 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2⁷⁸⁰⁹² is an apocalyptic number.

It is an amenable number.

78092 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (78120).

78092 is a wasteful number, since it uses less digits than its factorization.

78092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 78092 is about 279.4494587578. The cubic root of 78092 is about 42.7433787039.

It can be divided in two parts, 7 and 8092, that multiplied together give a square (56644 = 238²).

The spelling of 78092 in words is "seventy-eight thousand, ninety-two".