77993417385 has 24 divisors (see below), whose sum is σ = 145587713544. Its totient is φ = 38396759040.

The previous prime is 77993417291. The next prime is 77993417387. The reversal of 77993417385 is 58371439977.

It can be written as a sum of positive squares in 4 ways, for example, as 5185728144 + 72807689241 = 72012^2 + 269829^2 .

It is not a de Polignac number, because 77993417385 - 2⁹ = 77993416873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77993417387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66660456 + ... + 66661625.

It is an arithmetic number, because the mean of its divisors is an integer number (6066154731).

Almost surely, 2^77993417385 is an apocalyptic number.

It is an amenable number.

77993417385 is a deficient number, since it is larger than the sum of its proper divisors (67594296159).

77993417385 is a wasteful number, since it uses less digits than its factorization.

77993417385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133322105 (or 133322102 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 77993417385 in words is "seventy-seven billion, nine hundred ninety-three million, four hundred seventeen thousand, three hundred eighty-five".