768166355401 has 27 divisors (see below), whose sum is σ = 818620946829. Its totient is φ = 720716174712.

The previous prime is 768166355321. The next prime is 768166355449. The reversal of 768166355401 is 104553661867.

The square root of 768166355401 is 876451.

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

It is not a de Polignac number, because 768166355401 - 2⁷ = 768166355273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768166355101) 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, 2714368606 + ... + 2714368888.

It is an arithmetic number, because the mean of its divisors is an integer number (30319294327).

Almost surely, 2^768166355401 is an apocalyptic number.

768166355401 is the 876451-st square number.

768166355401 is the 438226-th centered octagonal number.

It is an amenable number.

768166355401 is a deficient number, since it is larger than the sum of its proper divisors (50454591428).

768166355401 is an frugal number, since it uses more digits than its factorization.

768166355401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 768166355401 in words is "seven hundred sixty-eight billion, one hundred sixty-six million, three hundred fifty-five thousand, four hundred one".