77929 has 2 divisors, whose sum is σ = 77930. Its totient is φ = 77928.

The previous prime is 77899. The next prime is 77933. The reversal of 77929 is 92977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75625 + 2304 = 275^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 77929 - 2⁷ = 77801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77894 and 77903.

It is not a weakly prime, because it can be changed into another prime (77969) 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 as a sum of consecutive naturals, namely, 38964 + 38965.

It is an arithmetic number, because the mean of its divisors is an integer number (38965).

2⁷⁷⁹²⁹ is an apocalyptic number.

It is an amenable number.

77929 is a deficient number, since it is larger than the sum of its proper divisors (1).

77929 is an equidigital number, since it uses as much as digits as its factorization.

77929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7938, while the sum is 34.

The square root of 77929 is about 279.1576615463. The cubic root of 77929 is about 42.7136188316.

It can be divided in two parts, 779 and 29, that added together give a palindrome (808).

The spelling of 77929 in words is "seventy-seven thousand, nine hundred twenty-nine".