78067 has 8 divisors (see below), whose sum is σ = 87552. Its totient is φ = 69000.

The previous prime is 78059. The next prime is 78079. The reversal of 78067 is 76087.

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

It is a cyclic number.

It is not a de Polignac number, because 78067 - 2³ = 78059 is a prime.

It is a Duffinian number.

78067 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (78007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2⁷⁸⁰⁶⁷ is an apocalyptic number.

78067 is a deficient number, since it is larger than the sum of its proper divisors (9485).

78067 is a wasteful number, since it uses less digits than its factorization.

78067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 78067 is about 279.4047243695. The cubic root of 78067 is about 42.7388169967.

The spelling of 78067 in words is "seventy-eight thousand, sixty-seven".