768608576404803 has 16 divisors (see below), whose sum is σ = 1138717255132800. Its totient is φ = 512388670396680.

The previous prime is 768608576404717. The next prime is 768608576404813. The reversal of 768608576404803 is 308404675806867.

It is a happy number.

768608576404803 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 0 + 8 + 576 + 4 + 0 + 48 + 0 + 3 = 666.

It is not a de Polignac number, because 768608576404803 - 2³⁴ = 768591396535619 is a prime.

It is a super-3 number, since 3×768608576404803³ (a number of 46 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (768608576404813) 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, 472706893 + ... + 474330078.

It is an arithmetic number, because the mean of its divisors is an integer number (71169828445800).

Almost surely, 2^{768608576404803} is an apocalyptic number.

768608576404803 is a deficient number, since it is larger than the sum of its proper divisors (370108678727997).

768608576404803 is a wasteful number, since it uses less digits than its factorization.

768608576404803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947067039 (or 947067033 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 768608576404803 in words is "seven hundred sixty-eight trillion, six hundred eight billion, five hundred seventy-six million, four hundred four thousand, eight hundred three".