76093774201 has 9 divisors (see below), whose sum is σ = 76498373871. Its totient is φ = 75691307592.

The previous prime is 76093774199. The next prime is 76093774219. The reversal of 76093774201 is 10247739067.

The square root of 76093774201 is 275851.

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., 57468075625 + 18625698576 = 239725^2 + 136476^2 .

It is not a de Polignac number, because 76093774201 - 2¹ = 76093774199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76093774261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61514155 + ... + 61515391.

It is an arithmetic number, because the mean of its divisors is an integer number (8499819319).

Almost surely, 2^76093774201 is an apocalyptic number.

76093774201 is the 275851-st square number.

76093774201 is the 137926-th centered octagonal number.

It is an amenable number.

76093774201 is a deficient number, since it is larger than the sum of its proper divisors (404599670).

76093774201 is an frugal number, since it uses more digits than its factorization.

76093774201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 76093774201 in words is "seventy-six billion, ninety-three million, seven hundred seventy-four thousand, two hundred one".