77727672777 has 16 divisors (see below), whose sum is σ = 106176006720. Its totient is φ = 50549164800.

The previous prime is 77727672769. The next prime is 77727672823.

77727672777 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77727672777 - 2³ = 77727672769 is a prime.

It is a super-2 number, since 2×77727672777² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77727672767) 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 15 ways as a sum of consecutive naturals, for example, 1345749 + ... + 1402317.

It is an arithmetic number, because the mean of its divisors is an integer number (6636000420).

Almost surely, 2^77727672777 is an apocalyptic number.

It is an amenable number.

77727672777 is a deficient number, since it is larger than the sum of its proper divisors (28448333943).

77727672777 is a wasteful number, since it uses less digits than its factorization.

77727672777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67784.

The product of its digits is 138355224, while the sum is 66.

The spelling of 77727672777 in words is "seventy-seven billion, seven hundred twenty-seven million, six hundred seventy-two thousand, seven hundred seventy-seven".