76541320396801 has 8 divisors (see below), whose sum is σ = 82438673609600. Its totient is φ = 70645332803472.

The previous prime is 76541320396789. The next prime is 76541320396811. The reversal of 76541320396801 is 10869302314567.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76541320396801 - 2⁵ = 76541320396769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76541320396811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341288451 + ... + 341512648.

It is an arithmetic number, because the mean of its divisors is an integer number (10304834201200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅76541320396801 = 153082640793602, but 3⋅76541320396801 = 229623961190403 is not.

Almost surely, 2^{76541320396801} is an apocalyptic number.

It is an amenable number.

76541320396801 is a deficient number, since it is larger than the sum of its proper divisors (5897353212799).

76541320396801 is a wasteful number, since it uses less digits than its factorization.

76541320396801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682809735.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 76541320396801 in words is "seventy-six trillion, five hundred forty-one billion, three hundred twenty million, three hundred ninety-six thousand, eight hundred one".