78867 has 16 divisors (see below), whose sum is σ = 122880. Its totient is φ = 49896.

The previous prime is 78857. The next prime is 78877. The reversal of 78867 is 76887.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78857) and next prime (78877).

It is not a de Polignac number, because 78867 - 2⁶ = 78803 is a prime.

78867 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (78857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁷⁸⁸⁶⁷ is an apocalyptic number.

78867 is a deficient number, since it is larger than the sum of its proper divisors (44013).

78867 is a wasteful number, since it uses less digits than its factorization.

78867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 78867 is about 280.8326904048. The cubic root of 78867 is about 42.8843113448.

The spelling of 78867 in words is "seventy-eight thousand, eight hundred sixty-seven".