77776688667777 has 32 divisors (see below), whose sum is σ = 119181296747520. Its totient is φ = 44619957645120.

The previous prime is 77776688667751. The next prime is 77776688667781.

77776688667777 is nontrivially palindromic in base 10.

77776688667777 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 77776688667777 - 2¹⁴ = 77776688651393 is a prime.

It is a super-3 number, since 3×77776688667777³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77776688667077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49946898 + ... + 51480539.

It is an arithmetic number, because the mean of its divisors is an integer number (3724415523360).

Almost surely, 2^{77776688667777} is an apocalyptic number.

It is an amenable number.

77776688667777 is a deficient number, since it is larger than the sum of its proper divisors (41404608079743).

77776688667777 is a wasteful number, since it uses less digits than its factorization.

77776688667777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101428693.

The product of its digits is 478155654144, while the sum is 96.

The spelling of 77776688667777 in words is "seventy-seven trillion, seven hundred seventy-six billion, six hundred eighty-eight million, six hundred sixty-seven thousand, seven hundred seventy-seven".