78042 has 8 divisors (see below), whose sum is σ = 156096. Its totient is φ = 26012.

The previous prime is 78041. The next prime is 78049. The reversal of 78042 is 24087.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

78042 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78042.

It is not an unprimeable number, because it can be changed into a prime (78041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6498 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (19512).

2⁷⁸⁰⁴² is an apocalyptic number.

78042 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 (78048).

78042 is a wasteful number, since it uses less digits than its factorization.

78042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 78042 is about 279.3599828179. The cubic root of 78042 is about 42.7342543155.

The spelling of 78042 in words is "seventy-eight thousand, forty-two".