76833741721 has 27 divisors (see below), whose sum is σ = 85591418367. Its totient is φ = 68920272960.

The previous prime is 76833741619. The next prime is 76833741737. The reversal of 76833741721 is 12714733867.

The square root of 76833741721 is 277189.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1353872025 + 75479869696 = 36795^2 + 274736^2 .

It is not a de Polignac number, because 76833741721 - 2⁹ = 76833741209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76833741421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344545816 + ... + 344546038.

Almost surely, 2^76833741721 is an apocalyptic number.

76833741721 is the 277189-th square number.

76833741721 is the 138595-th centered octagonal number.

It is an amenable number.

76833741721 is a deficient number, since it is larger than the sum of its proper divisors (8757676646).

76833741721 is an equidigital number, since it uses as much as digits as its factorization.

76833741721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 49.

Multiplying 76833741721 by its sum of digits (49), we get a square (3764853344329 = 1940323²).

The spelling of 76833741721 in words is "seventy-six billion, eight hundred thirty-three million, seven hundred forty-one thousand, seven hundred twenty-one".