77913 has 12 divisors (see below), whose sum is σ = 122928. Its totient is φ = 47160.

The previous prime is 77899. The next prime is 77929. The reversal of 77913 is 31977.

It is not a de Polignac number, because 77913 - 2⁶ = 77849 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

77913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (77933) 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 11 ways as a sum of consecutive naturals, for example, 295 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (10244).

2⁷⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

77913 is a deficient number, since it is larger than the sum of its proper divisors (45015).

77913 is a wasteful number, since it uses less digits than its factorization.

77913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 77913 is about 279.1290024344. The cubic root of 77913 is about 42.7106953813.

It can be divided in two parts, 77 and 913, that added together give a triangular number (990 = T₄₄).

The spelling of 77913 in words is "seventy-seven thousand, nine hundred thirteen".