77684688648677 has 12 divisors (see below), whose sum is σ = 85428838320588. Its totient is φ = 70589458262400.

The previous prime is 77684688648649. The next prime is 77684688648709.

77684688648677 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 44020916050276 + 33663772598401 = 6634826^2 + 5802049^2 .

It is not a de Polignac number, because 77684688648677 - 2¹⁶ = 77684688583141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77684688648607) 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 11 ways as a sum of consecutive naturals, for example, 149676068 + ... + 150194189.

It is an arithmetic number, because the mean of its divisors is an integer number (7119069860049).

Almost surely, 2^{77684688648677} is an apocalyptic number.

It is an amenable number.

77684688648677 is a deficient number, since it is larger than the sum of its proper divisors (7744149671911).

77684688648677 is a wasteful number, since it uses less digits than its factorization.

77684688648677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299872420 (or 299872409 counting only the distinct ones).

The product of its digits is 203928109056, while the sum is 92.

The spelling of 77684688648677 in words is "seventy-seven trillion, six hundred eighty-four billion, six hundred eighty-eight million, six hundred forty-eight thousand, six hundred seventy-seven".