8303765625 has 91 divisors (see below), whose sum is σ = 15569351491. Its totient is φ = 4428675000.

The previous prime is 8303765611. The next prime is 8303765653. The reversal of 8303765625 is 5265673038.

The square root of 8303765625 is 91125.

The cubic root of 8303765625 is 2025.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

8303765625 is a `hidden beast` number, since 83 + 0 + 3 + 7 + 6 + 562 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7274895849 + 1028869776 = 85293^2 + 32076^2 .

It is not a de Polignac number, because 8303765625 - 2¹⁷ = 8303634553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 1660753123 + ... + 1660753127.

Almost surely, 2^8303765625 is an apocalyptic number.

8303765625 is the 91125-th square number.

8303765625 is the 45563-rd centered octagonal number.

It is an amenable number.

8303765625 is a deficient number, since it is larger than the sum of its proper divisors (7265585866).

8303765625 is an frugal number, since it uses more digits than its factorization.

8303765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Multiplying 8303765625 by its sum of digits (45), we get a 7-th power (373669453125 = 45⁷).

8303765625 divided by its sum of digits (45) gives a 5-th power (184528125 = 45⁵).

The spelling of 8303765625 in words is "eight billion, three hundred three million, seven hundred sixty-five thousand, six hundred twenty-five".