75929455809 has 45 divisors (see below), whose sum is σ = 120556985241. Its totient is φ = 47615558400.

The previous prime is 75929455781. The next prime is 75929455853. The reversal of 75929455809 is 90855492957.

The square root of 75929455809 is 275553.

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

75929455809 is a `hidden beast` number, since 7 + 5 + 9 + 2 + 9 + 45 + 580 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1111889025 + 74817566784 = 33345^2 + 273528^2 .

It is not a de Polignac number, because 75929455809 - 2²¹ = 75927358657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75929455859) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42158709 + ... + 42160509.

Almost surely, 2^75929455809 is an apocalyptic number.

75929455809 is the 275553-rd square number.

75929455809 is the 137777-th centered octagonal number.

It is an amenable number.

75929455809 is a deficient number, since it is larger than the sum of its proper divisors (44627529432).

75929455809 is an frugal number, since it uses more digits than its factorization.

75929455809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 75929455809 in words is "seventy-five billion, nine hundred twenty-nine million, four hundred fifty-five thousand, eight hundred nine".