77311333311377 has 12 divisors (see below), whose sum is σ = 84978791170308. Its totient is φ = 70282849824000.

The previous prime is 77311333311341. The next prime is 77311333311461.

77311333311377 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 67142881493776 + 10168451817601 = 8194076^2 + 3188801^2 .

It is not a de Polignac number, because 77311333311377 - 2⁶ = 77311333311313 is a prime.

It is a super-2 number, since 2×77311333311377² (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 (77311333311077) 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, 76470377 + ... + 77474777.

It is an arithmetic number, because the mean of its divisors is an integer number (7081565930859).

Almost surely, 2^{77311333311377} is an apocalyptic number.

It is an amenable number.

77311333311377 is a deficient number, since it is larger than the sum of its proper divisors (7667457858931).

77311333311377 is a wasteful number, since it uses less digits than its factorization.

77311333311377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640560 (or 1640549 counting only the distinct ones).

The product of its digits is 1750329, while the sum is 50.

The spelling of 77311333311377 in words is "seventy-seven trillion, three hundred eleven billion, three hundred thirty-three million, three hundred eleven thousand, three hundred seventy-seven".