75806409 has 32 divisors (see below), whose sum is σ = 122183680. Its totient is φ = 40839552.

The previous prime is 75806369. The next prime is 75806431. The reversal of 75806409 is 90460857.

It is not a de Polignac number, because 75806409 - 2¹¹ = 75804361 is a prime.

It is a super-2 number, since 2×75806409² = 11493223290950562, which contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (75806509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124584 + ... + 125190.

It is an arithmetic number, because the mean of its divisors is an integer number (3818240).

Almost surely, 2^75806409 is an apocalyptic number.

It is an amenable number.

75806409 is a deficient number, since it is larger than the sum of its proper divisors (46377271).

75806409 is a wasteful number, since it uses less digits than its factorization.

75806409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75806409 is about 8706.6876020677. The cubic root of 75806409 is about 423.2223958932. Note that the first 3 decimals are identical.

The spelling of 75806409 in words is "seventy-five million, eight hundred six thousand, four hundred nine".