76833741720 has 128 divisors (see below), whose sum is σ = 235309536000. Its totient is φ = 20063107584.

The previous prime is 76833741619. The next prime is 76833741737. The reversal of 76833741720 is 2714733867.

It is a Cunningham number, because it is equal to 277189²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 76833741720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314731 + ... + 3337829.

It is an arithmetic number, because the mean of its divisors is an integer number (1838355750).

Almost surely, 2^76833741720 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 76833741720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117654768000).

76833741720 is an abundant number, since it is smaller than the sum of its proper divisors (158475794280).

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

76833741720 is a wasteful number, since it uses less digits than its factorization.

76833741720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23689 (or 23685 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 76833741720 in words is "seventy-six billion, eight hundred thirty-three million, seven hundred forty-one thousand, seven hundred twenty".