330768765625 has 63 divisors (see below), whose sum is σ = 427287518931. Its totient is φ = 256045650000.

The previous prime is 330768765623. The next prime is 330768765631. The reversal of 330768765625 is 526567867033.

The square root of 330768765625 is 575125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 289785192489 + 40983573136 = 538317^2 + 202444^2 .

It is not a de Polignac number, because 330768765625 - 2¹ = 330768765623 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 330768765625.

It is not an unprimeable number, because it can be changed into a prime (330768765623) 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 62 ways as a sum of consecutive naturals, for example, 3091296822 + ... + 3091296928.

Almost surely, 2^330768765625 is an apocalyptic number.

330768765625 is the 575125-th square number.

330768765625 is the 287563-rd centered octagonal number.

It is an amenable number.

330768765625 is a deficient number, since it is larger than the sum of its proper divisors (96518753306).

330768765625 is an frugal number, since it uses more digits than its factorization.

330768765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 58.

The spelling of 330768765625 in words is "three hundred thirty billion, seven hundred sixty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".