77734411716717 has 12 divisors (see below), whose sum is σ = 128323473310240. Its totient is φ = 44419663838088.

The previous prime is 77734411716701. The next prime is 77734411716737. The reversal of 77734411716717 is 71761711443777.

77734411716717 is a `hidden beast` number, since 7 + 7 + 7 + 3 + 441 + 17 + 167 + 17 = 666.

It is not a de Polignac number, because 77734411716717 - 2⁴ = 77734411716701 is a prime.

It is a super-2 number, since 2×77734411716717² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 1233879551059 = 77734411716717 / (7 + 7 + 7 + 3 + 4 + 4 + 1 + 1 + 7 + 1 + 6 + 7 + 1 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77734411716737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616939775467 + ... + 616939775592.

Almost surely, 2^{77734411716717} is an apocalyptic number.

It is an amenable number.

77734411716717 is a deficient number, since it is larger than the sum of its proper divisors (50589061593523).

77734411716717 is a wasteful number, since it uses less digits than its factorization.

77734411716717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233879551072 (or 1233879551069 counting only the distinct ones).

The product of its digits is 33882912, while the sum is 63.

The spelling of 77734411716717 in words is "seventy-seven trillion, seven hundred thirty-four billion, four hundred eleven million, seven hundred sixteen thousand, seven hundred seventeen".