77731466413777 has 12 divisors (see below), whose sum is σ = 85489111923460. Its totient is φ = 70624658396160.

The previous prime is 77731466413723. The next prime is 77731466413781.

77731466413777 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2188790055936 + 75542676357841 = 1479456^2 + 8691529^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77731466413777 is a prime.

It is a super-2 number, since 2×77731466413777² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77731466410777) 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, 183019152 + ... + 183443377.

Almost surely, 2^{77731466413777} is an apocalyptic number.

It is an amenable number.

77731466413777 is a deficient number, since it is larger than the sum of its proper divisors (7757645509683).

77731466413777 is a wasteful number, since it uses less digits than its factorization.

77731466413777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366464304 (or 366464293 counting only the distinct ones).

The product of its digits is 609892416, while the sum is 70.

The spelling of 77731466413777 in words is "seventy-seven trillion, seven hundred thirty-one billion, four hundred sixty-six million, four hundred thirteen thousand, seven hundred seventy-seven".