77667 has 4 divisors (see below), whose sum is σ = 103560. Its totient is φ = 51776.

The previous prime is 77659. The next prime is 77681. The reversal of 77667 is 76677.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 77667 - 2³ = 77659 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (77617) 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, 12942 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (25890).

2⁷⁷⁶⁶⁷ is an apocalyptic number.

77667 is a deficient number, since it is larger than the sum of its proper divisors (25893).

77667 is a wasteful number, since it uses less digits than its factorization.

77667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25892.

The product of its digits is 12348, while the sum is 33.

The square root of 77667 is about 278.6879975887. The cubic root of 77667 is about 42.6656968638.

Subtracting from 77667 its reverse (76677), we obtain a triangular number (990 = T₄₄).

The spelling of 77667 in words is "seventy-seven thousand, six hundred sixty-seven".