76509219609 has 27 divisors (see below), whose sum is σ = 111491534973. Its totient is φ = 50558602752.

The previous prime is 76509219601. The next prime is 76509219623. The reversal of 76509219609 is 90691290567.

The square root of 76509219609 is 276603.

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

76509219609 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 9 + 21 + 9 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 597949209 + 75911270400 = 24453^2 + 275520^2 .

It is not a de Polignac number, because 76509219609 - 2³ = 76509219601 is a prime.

It is a super-2 number, since 2×76509219609² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76509219601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113683497 + ... + 113684169.

Almost surely, 2^76509219609 is an apocalyptic number.

76509219609 is the 276603-rd square number.

76509219609 is the 138302-nd centered octagonal number.

It is an amenable number.

76509219609 is a deficient number, since it is larger than the sum of its proper divisors (34982315364).

76509219609 is an frugal number, since it uses more digits than its factorization.

76509219609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 76509219609 in words is "seventy-six billion, five hundred nine million, two hundred nineteen thousand, six hundred nine".