768538393 has 12 divisors (see below), whose sum is σ = 899717412. Its totient is φ = 654544800.

The previous prime is 768538387. The next prime is 768538409. The reversal of 768538393 is 393835867.

It can be written as a sum of positive squares in 2 ways, for example, as 536524569 + 232013824 = 23163^2 + 15232^2 .

It is not a de Polignac number, because 768538393 - 2⁹ = 768537881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 768538393.

It is not an unprimeable number, because it can be changed into a prime (768538373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42258 + ... + 57643.

It is an arithmetic number, because the mean of its divisors is an integer number (74976451).

Almost surely, 2^768538393 is an apocalyptic number.

It is an amenable number.

768538393 is a deficient number, since it is larger than the sum of its proper divisors (131179019).

768538393 is a wasteful number, since it uses less digits than its factorization.

768538393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100072 (or 100065 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 768538393 is about 27722.5250112611. The cubic root of 768538393 is about 915.9853392421.

The spelling of 768538393 in words is "seven hundred sixty-eight million, five hundred thirty-eight thousand, three hundred ninety-three".