77677 has 4 divisors (see below), whose sum is σ = 78300. Its totient is φ = 77056.

The previous prime is 77659. The next prime is 77681.

77677 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 17161 = 246^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 77677 - 2⁷ = 77549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (19575).

2⁷⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

77677 is a deficient number, since it is larger than the sum of its proper divisors (623).

77677 is a wasteful number, since it uses less digits than its factorization.

77677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

The product of its digits is 14406, while the sum is 34.

The square root of 77677 is about 278.7059382216. The cubic root of 77677 is about 42.6675279232.

The spelling of 77677 in words is "seventy-seven thousand, six hundred seventy-seven".