76368769801 has 9 divisors (see below), whose sum is σ = 77146166349. Its totient is φ = 75599137836.

The previous prime is 76368769769. The next prime is 76368769817. The reversal of 76368769801 is 10896786367.

The square root of 76368769801 is 276349.

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

It is not a de Polignac number, because 76368769801 - 2⁵ = 76368769769 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 76368769801.

It is not an unprimeable number, because it can be changed into a prime (76368769861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28462606 + ... + 28465288.

It is an arithmetic number, because the mean of its divisors is an integer number (8571796261).

Almost surely, 2^76368769801 is an apocalyptic number.

76368769801 is the 276349-th square number.

76368769801 is the 138175-th centered octagonal number.

It is an amenable number.

76368769801 is a deficient number, since it is larger than the sum of its proper divisors (777396548).

76368769801 is an frugal number, since it uses more digits than its factorization.

76368769801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 76368769801 in words is "seventy-six billion, three hundred sixty-eight million, seven hundred sixty-nine thousand, eight hundred one".