75406807609 has 9 divisors (see below), whose sum is σ = 87720359247. Its totient is φ = 64632758904.

The previous prime is 75406807577. The next prime is 75406807621. The reversal of 75406807609 is 90670860457.

It is a happy number.

The square root of 75406807609 is 274603.

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., 75214708009 + 192099600 = 274253^2 + 13860^2 .

It is not a de Polignac number, because 75406807609 - 2⁵ = 75406807577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75406807009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1902607 + ... + 1941835.

It is an arithmetic number, because the mean of its divisors is an integer number (9746706583).

Almost surely, 2^75406807609 is an apocalyptic number.

75406807609 is the 274603-rd square number.

75406807609 is the 137302-nd centered octagonal number.

It is an amenable number.

75406807609 is a deficient number, since it is larger than the sum of its proper divisors (12313551638).

75406807609 is an frugal number, since it uses more digits than its factorization.

75406807609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78472 (or 39236 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 75406807609 in words is "seventy-five billion, four hundred six million, eight hundred seven thousand, six hundred nine".