77965456977 has 18 divisors (see below), whose sum is σ = 113191838838. Its totient is φ = 51712897152.

The previous prime is 77965456973. The next prime is 77965456993.

It is a happy number.

77965456977 is a `hidden beast` number, since 7 + 7 + 9 + 6 + 54 + 569 + 7 + 7 = 666.

77965456977 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 69676993296 + 8288463681 = 263964^2 + 91041^2 .

It is not a de Polignac number, because 77965456977 - 2² = 77965456973 is a prime.

It is a super-2 number, since 2×77965456977² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77965456973) 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 17 ways as a sum of consecutive naturals, for example, 237673 + ... + 460889.

It is an arithmetic number, because the mean of its divisors is an integer number (6288435491).

Almost surely, 2^77965456977 is an apocalyptic number.

It is an amenable number.

77965456977 is a deficient number, since it is larger than the sum of its proper divisors (35226381861).

77965456977 is a wasteful number, since it uses less digits than its factorization.

77965456977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223617 (or 223417 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 77965456977 in words is "seventy-seven billion, nine hundred sixty-five million, four hundred fifty-six thousand, nine hundred seventy-seven".