77584048577 has 16 divisors (see below), whose sum is σ = 89444516352. Its totient is φ = 65920296960.

The previous prime is 77584048567. The next prime is 77584048603.

77584048577 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77584048577 - 2⁶ = 77584048513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77584048567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277448 + ... + 481814.

It is an arithmetic number, because the mean of its divisors is an integer number (5590282272).

Almost surely, 2^77584048577 is an apocalyptic number.

It is an amenable number.

77584048577 is a deficient number, since it is larger than the sum of its proper divisors (11860467775).

77584048577 is a wasteful number, since it uses less digits than its factorization.

77584048577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204848.

The product of its (nonzero) digits is 61465600, while the sum is 62.

The spelling of 77584048577 in words is "seventy-seven billion, five hundred eighty-four million, forty-eight thousand, five hundred seventy-seven".