75846812409 has 9 divisors (see below), whose sum is σ = 109557700239. Its totient is φ = 50563990800.

The previous prime is 75846812399. The next prime is 75846812423. The reversal of 75846812409 is 90421864857.

It is a happy number.

The square root of 75846812409 is 275403.

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

75846812409 is a `hidden beast` number, since 7 + 58 + 468 + 124 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32997812409 + 42849000000 = 181653^2 + 207000^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 75846812409 - 2¹⁹ = 75846288121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75846812809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 780309 + ... + 872109.

Almost surely, 2^75846812409 is an apocalyptic number.

75846812409 is the 275403-rd square number.

75846812409 is the 137702-nd centered octagonal number.

It is an amenable number.

75846812409 is a deficient number, since it is larger than the sum of its proper divisors (33710887830).

75846812409 is an frugal number, since it uses more digits than its factorization.

75846812409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183608 (or 91804 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 75846812409 in words is "seventy-five billion, eight hundred forty-six million, eight hundred twelve thousand, four hundred nine".