77579977997577 has 8 divisors (see below), whose sum is σ = 112843604360160. Its totient is φ = 47018168483360.

The previous prime is 77579977997563. The next prime is 77579977997591.

77579977997577 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (77579977997563) and next prime (77579977997591).

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

It is a cyclic number.

It is not a de Polignac number, because 77579977997577 - 2¹⁹ = 77579977473289 is a prime.

It is a super-2 number, since 2×77579977997577² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77579977993577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175454212052 + ... + 1175454212117.

It is an arithmetic number, because the mean of its divisors is an integer number (14105450545020).

Almost surely, 2^{77579977997577} is an apocalyptic number.

It is an amenable number.

77579977997577 is a deficient number, since it is larger than the sum of its proper divisors (35263626362583).

77579977997577 is a wasteful number, since it uses less digits than its factorization.

77579977997577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350908424183.

The product of its digits is 945571484025, while the sum is 102.

The spelling of 77579977997577 in words is "seventy-seven trillion, five hundred seventy-nine billion, nine hundred seventy-seven million, nine hundred ninety-seven thousand, five hundred seventy-seven".