7766368129 has 9 divisors (see below), whose sum is σ = 8410976643. Its totient is φ = 7167897672.

The previous prime is 7766368087. The next prime is 7766368153. The reversal of 7766368129 is 9218636677.

It is a happy number.

The square root of 7766368129 is 88127.

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., 1148871025 + 6617497104 = 33895^2 + 81348^2 .

It is not a de Polignac number, because 7766368129 - 2²⁷ = 7632150401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7766368129.

It is not an unprimeable number, because it can be changed into a prime (7766365129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1142262 + ... + 1149040.

Almost surely, 2^7766368129 is an apocalyptic number.

7766368129 is the 88127-th square number.

7766368129 is the 44064-th centered octagonal number.

It is an amenable number.

7766368129 is a deficient number, since it is larger than the sum of its proper divisors (644608514).

7766368129 is an frugal number, since it uses more digits than its factorization.

7766368129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584 (or 6792 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 55.

The cubic root of 7766368129 is about 1980.3380140033.

The spelling of 7766368129 in words is "seven billion, seven hundred sixty-six million, three hundred sixty-eight thousand, one hundred twenty-nine".