77757355375777 has 16 divisors (see below), whose sum is σ = 97075418342400. Its totient is φ = 60508157628240.

The previous prime is 77757355375729. The next prime is 77757355375789.

77757355375777 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77757355375777 - 2⁷ = 77757355375649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77757355375777.

It is not an unprimeable number, because it can be changed into a prime (77757355375717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683187877 + ... + 683301682.

It is an arithmetic number, because the mean of its divisors is an integer number (6067213646400).

Almost surely, 2^{77757355375777} is an apocalyptic number.

77757355375777 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77757355375777 is a deficient number, since it is larger than the sum of its proper divisors (19318062966623).

77757355375777 is a wasteful number, since it uses less digits than its factorization.

77757355375777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366490316.

The product of its digits is 32427005625, while the sum is 82.

The spelling of 77757355375777 in words is "seventy-seven trillion, seven hundred fifty-seven billion, three hundred fifty-five million, three hundred seventy-five thousand, seven hundred seventy-seven".