77734431657 has 6 divisors (see below), whose sum is σ = 112283067962. Its totient is φ = 51822954432.

The previous prime is 77734431583. The next prime is 77734431667. The reversal of 77734431657 is 75613443777.

77734431657 is a `hidden beast` number, since 77 + 73 + 443 + 1 + 65 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77544983961 + 189447696 = 278469^2 + 13764^2 .

It is not a de Polignac number, because 77734431657 - 2⁷ = 77734431529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77734431667) 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 5 ways as a sum of consecutive naturals, for example, 4318579528 + ... + 4318579545.

Almost surely, 2^77734431657 is an apocalyptic number.

It is an amenable number.

77734431657 is a deficient number, since it is larger than the sum of its proper divisors (34548636305).

77734431657 is a wasteful number, since it uses less digits than its factorization.

77734431657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637159079 (or 8637159076 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The spelling of 77734431657 in words is "seventy-seven billion, seven hundred thirty-four million, four hundred thirty-one thousand, six hundred fifty-seven".