76786072609 has 9 divisors (see below), whose sum is σ = 77079532467. Its totient is φ = 76493728944.

The previous prime is 76786072589. The next prime is 76786072621. The reversal of 76786072609 is 90627068767.

It is a happy number.

The square root of 76786072609 is 277103.

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., 12655575009 + 64130497600 = 112497^2 + 253240^2 .

It is not a de Polignac number, because 76786072609 - 2¹⁷ = 76785941537 is a prime.

It is a super-2 number, since 2×76786072609² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76786072639) 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, 134948877 + ... + 134949445.

Almost surely, 2^76786072609 is an apocalyptic number.

76786072609 is the 277103-rd square number.

76786072609 is the 138552-nd centered octagonal number.

It is an amenable number.

76786072609 is a deficient number, since it is larger than the sum of its proper divisors (293459858).

76786072609 is an frugal number, since it uses more digits than its factorization.

76786072609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 76786072609 in words is "seventy-six billion, seven hundred eighty-six million, seventy-two thousand, six hundred nine".