76867 has 8 divisors (see below), whose sum is σ = 89600. Its totient is φ = 64584.

The previous prime is 76847. The next prime is 76871.

76867 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76837) 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 7 ways as a sum of consecutive naturals, for example, 484 + ... + 622.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2⁷⁶⁸⁶⁷ is an apocalyptic number.

76867 is the 139-th decagonal number.

76867 is a deficient number, since it is larger than the sum of its proper divisors (12733).

76867 is a wasteful number, since it uses less digits than its factorization.

76867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its digits is 14112, while the sum is 34.

The square root of 76867 is about 277.2489855707. The cubic root of 76867 is about 42.5186999600.

The spelling of 76867 in words is "seventy-six thousand, eight hundred sixty-seven".