77556065577 has 8 divisors (see below), whose sum is σ = 106743832320. Its totient is φ = 50036171280.

The previous prime is 77556065549. The next prime is 77556065599.

It is a happy number.

77556065577 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 77556065577 - 2¹² = 77556061481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77556065577.

It is not an unprimeable number, because it can be changed into a prime (77556065777) 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, 416968002 + ... + 416968187.

It is an arithmetic number, because the mean of its divisors is an integer number (13342979040).

Almost surely, 2^77556065577 is an apocalyptic number.

It is an amenable number.

77556065577 is a deficient number, since it is larger than the sum of its proper divisors (29187766743).

77556065577 is a wasteful number, since it uses less digits than its factorization.

77556065577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833936223.

The product of its (nonzero) digits is 54022500, while the sum is 60.

The spelling of 77556065577 in words is "seventy-seven billion, five hundred fifty-six million, sixty-five thousand, five hundred seventy-seven".