77557113 has 12 divisors (see below), whose sum is σ = 112205028. Its totient is φ = 51622560.

The previous prime is 77557099. The next prime is 77557121. The reversal of 77557113 is 31175577.

It is a happy number.

77557113 is a `hidden beast` number, since 7 + 75 + 571 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57198969 + 20358144 = 7563^2 + 4512^2 .

It is not a de Polignac number, because 77557113 - 2¹³ = 77548921 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77557153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 12467.

It is an arithmetic number, because the mean of its divisors is an integer number (9350419).

Almost surely, 2^77557113 is an apocalyptic number.

It is an amenable number.

77557113 is a deficient number, since it is larger than the sum of its proper divisors (34647915).

77557113 is a wasteful number, since it uses less digits than its factorization.

77557113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13704 (or 13701 counting only the distinct ones).

The product of its digits is 25725, while the sum is 36.

The square root of 77557113 is about 8806.6516338504. The cubic root of 77557113 is about 426.4556554120.

The spelling of 77557113 in words is "seventy-seven million, five hundred fifty-seven thousand, one hundred thirteen".