77927 has 4 divisors (see below), whose sum is σ = 78600. Its totient is φ = 77256.

The previous prime is 77899. The next prime is 77929. The reversal of 77927 is 72977.

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 is a cyclic number.

It is not a de Polignac number, because 77927 - 2⁶ = 77863 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77893 and 77902.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77927.

It is not an unprimeable number, because it can be changed into a prime (77929) 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, 113 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (19650).

2⁷⁷⁹²⁷ is an apocalyptic number.

77927 is a deficient number, since it is larger than the sum of its proper divisors (673).

77927 is a wasteful number, since it uses less digits than its factorization.

77927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its digits is 6174, while the sum is 32.

The square root of 77927 is about 279.1540793182. The cubic root of 77927 is about 42.7132534222.

Subtracting from 77927 its reverse (72977), we obtain a triangular number (4950 = T₉₉).

The spelling of 77927 in words is "seventy-seven thousand, nine hundred twenty-seven".