76820255027712 has 1920 divisors, whose sum is σ = 287422289510400. Its totient is φ = 20131528015872.

The previous prime is 76820255027707. The next prime is 76820255027741. The reversal of 76820255027712 is 21772055202867.

76820255027712 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 0 + 2 + 550 + 2 + 77 + 12 = 666.

76820255027712 is digitally balanced in base 3 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 70283855838 + ... + 70283856930.

It is an arithmetic number, because the mean of its divisors is an integer number (149699109120).

Almost surely, 2^{76820255027712} is an apocalyptic number.

76820255027712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76820255027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143711144755200).

76820255027712 is an abundant number, since it is smaller than the sum of its proper divisors (210602034482688).

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

76820255027712 is a wasteful number, since it uses less digits than its factorization.

76820255027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 76820255027712 in words is "seventy-six trillion, eight hundred twenty billion, two hundred fifty-five million, twenty-seven thousand, seven hundred twelve".