76791821568 has 432 divisors, whose sum is σ = 264944784384. Its totient is φ = 19516600320.

The previous prime is 76791821567. The next prime is 76791821593. The reversal of 76791821568 is 86512819767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76791821567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19453771 + ... + 19457717.

It is an arithmetic number, because the mean of its divisors is an integer number (613298112).

Almost surely, 2^76791821568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76791821568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132472392192).

76791821568 is an abundant number, since it is smaller than the sum of its proper divisors (188152962816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76791821568 is a wasteful number, since it uses less digits than its factorization.

76791821568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4017 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 60.

The spelling of 76791821568 in words is "seventy-six billion, seven hundred ninety-one million, eight hundred twenty-one thousand, five hundred sixty-eight".