77771313 has 48 divisors (see below), whose sum is σ = 124358400. Its totient is φ = 48016800.

The previous prime is 77771297. The next prime is 77771321. The reversal of 77771313 is 31317777.

It is not a de Polignac number, because 77771313 - 2⁴ = 77771297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77770313) 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 47 ways as a sum of consecutive naturals, for example, 769963 + ... + 770063.

It is an arithmetic number, because the mean of its divisors is an integer number (2590800).

Almost surely, 2^77771313 is an apocalyptic number.

It is an amenable number.

77771313 is a deficient number, since it is larger than the sum of its proper divisors (46587087).

77771313 is a wasteful number, since it uses less digits than its factorization.

77771313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its digits is 21609, while the sum is 36.

The square root of 77771313 is about 8818.8045108166. The cubic root of 77771313 is about 426.8478946781.

It can be divided in two parts, 7777 and 1313, that multiplied together give a palindrome (10211201).

The spelling of 77771313 in words is "seventy-seven million, seven hundred seventy-one thousand, three hundred thirteen".