76819733760 has 576 divisors, whose sum is σ = 310159503360. Its totient is φ = 15739453440.

The previous prime is 76819733743. The next prime is 76819733761. The reversal of 76819733760 is 6733791867.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76819733760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76819733761) 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 63 ways as a sum of consecutive naturals, for example, 21582861 + ... + 21586419.

It is an arithmetic number, because the mean of its divisors is an integer number (538471360).

Almost surely, 2^76819733760 is an apocalyptic number.

76819733760 is a gapful number since it is divisible by the number (70) 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 76819733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155079751680).

76819733760 is an abundant number, since it is smaller than the sum of its proper divisors (233339769600).

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

76819733760 is a wasteful number, since it uses less digits than its factorization.

76819733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 57.

The spelling of 76819733760 in words is "seventy-six billion, eight hundred nineteen million, seven hundred thirty-three thousand, seven hundred sixty".