75824781769 has 9 divisors (see below), whose sum is σ = 83347924359. Its totient is φ = 68928866160.

The previous prime is 75824781707. The next prime is 75824781841. The reversal of 75824781769 is 96718742857.

The square root of 75824781769 is 275363.

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., 7239457225 + 68585324544 = 85085^2 + 261888^2 .

It is not a de Polignac number, because 75824781769 - 2²⁹ = 75287910857 is a prime.

It is a super-2 number, since 2×75824781769² (a number of 23 digits) contains 22 as substring.

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 75824781769.

It is not an unprimeable number, because it can be changed into a prime (75824781169) 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, 3016477 + ... + 3041509.

Almost surely, 2^75824781769 is an apocalyptic number.

75824781769 is the 275363-rd square number.

75824781769 is the 137682-nd centered octagonal number.

It is an amenable number.

75824781769 is a deficient number, since it is larger than the sum of its proper divisors (7523142590).

75824781769 is an frugal number, since it uses more digits than its factorization.

75824781769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50088 (or 25044 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 64.

Multiplying 75824781769 by its sum of digits (64), we get a square (4852786033216 = 2202904²).

The spelling of 75824781769 in words is "seventy-five billion, eight hundred twenty-four million, seven hundred eighty-one thousand, seven hundred sixty-nine".