768815066041 has 27 divisors (see below), whose sum is σ = 856742670063. Its totient is φ = 689391743040.

The previous prime is 768815066021. The next prime is 768815066051. The reversal of 768815066041 is 140660518867.

The square root of 768815066041 is 876821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 235973464441 + 532841601600 = 485771^2 + 729960^2 .

It is not a de Polignac number, because 768815066041 - 2⁷ = 768815065913 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 768815066041.

It is not an unprimeable number, because it can be changed into a prime (768815066021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 761956945 + ... + 761957953.

Almost surely, 2^768815066041 is an apocalyptic number.

768815066041 is the 876821-st square number.

768815066041 is the 438411-st centered octagonal number.

It is an amenable number.

768815066041 is a deficient number, since it is larger than the sum of its proper divisors (87927604022).

768815066041 is an frugal number, since it uses more digits than its factorization.

768815066041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 768815066041 in words is "seven hundred sixty-eight billion, eight hundred fifteen million, sixty-six thousand, forty-one".