77782137017 has 8 divisors (see below), whose sum is σ = 83795323080. Its totient is φ = 71773228800.

The previous prime is 77782137007. The next prime is 77782137019. The reversal of 77782137017 is 71073128777.

It can be written as a sum of positive squares in 4 ways, for example, as 5851561 + 77776285456 = 2419^2 + 278884^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77782137017 - 2⁶ = 77782136953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77782137019) 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 7 ways as a sum of consecutive naturals, for example, 1031642 + ... + 1104467.

It is an arithmetic number, because the mean of its divisors is an integer number (10474415385).

Almost surely, 2^77782137017 is an apocalyptic number.

It is an amenable number.

77782137017 is a deficient number, since it is larger than the sum of its proper divisors (6013186063).

77782137017 is a wasteful number, since it uses less digits than its factorization.

77782137017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138923.

The product of its (nonzero) digits is 806736, while the sum is 50.

The spelling of 77782137017 in words is "seventy-seven billion, seven hundred eighty-two million, one hundred thirty-seven thousand, seventeen".