77667516817 has 32 divisors (see below), whose sum is σ = 90052300800. Its totient is φ = 66245155200.

The previous prime is 77667516809. The next prime is 77667516847. The reversal of 77667516817 is 71861576677.

It is a cyclic number.

It is not a de Polignac number, because 77667516817 - 2³ = 77667516809 is a prime.

It is a super-2 number, since 2×77667516817² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77667516847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9803784 + ... + 9811702.

It is an arithmetic number, because the mean of its divisors is an integer number (2814134400).

Almost surely, 2^77667516817 is an apocalyptic number.

It is an amenable number.

77667516817 is a deficient number, since it is larger than the sum of its proper divisors (12384783983).

77667516817 is a wasteful number, since it uses less digits than its factorization.

77667516817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397.

The product of its digits is 20744640, while the sum is 61.

The spelling of 77667516817 in words is "seventy-seven billion, six hundred sixty-seven million, five hundred sixteen thousand, eight hundred seventeen".