8430728761 has 27 divisors (see below), whose sum is σ = 10630138221. Its totient is φ = 6663855744.

The previous prime is 8430728711. The next prime is 8430728777. The reversal of 8430728761 is 1678270348.

The square root of 8430728761 is 91819.

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

8430728761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2600490025 + 5830238736 = 50995^2 + 76356^2 .

It is not a de Polignac number, because 8430728761 - 2¹³ = 8430720569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8430728701) 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, 8355025 + ... + 8356033.

It is an arithmetic number, because the mean of its divisors is an integer number (393708823).

Almost surely, 2^8430728761 is an apocalyptic number.

8430728761 is the 91819-th square number.

8430728761 is the 45910-th centered octagonal number.

It is an amenable number.

8430728761 is a deficient number, since it is larger than the sum of its proper divisors (2199409460).

8430728761 is an equidigital number, since it uses as much as digits as its factorization.

8430728761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The cubic root of 8430728761 is about 2035.2684749834.

The spelling of 8430728761 in words is "eight billion, four hundred thirty million, seven hundred twenty-eight thousand, seven hundred sixty-one".