76841503209 has 9 divisors (see below), whose sum is σ = 110994483639. Its totient is φ = 51227114400.

The previous prime is 76841503129. The next prime is 76841503307. The reversal of 76841503209 is 90230514867.

The square root of 76841503209 is 277203.

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., 69062263209 + 7779240000 = 262797^2 + 88200^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76841503209 - 2²³ = 76833114601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76841503709) 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, 785409 + ... + 877809.

It is a 1-persistent number, because it is pandigital, but 2⋅76841503209 = 153683006418 is not.

Almost surely, 2^76841503209 is an apocalyptic number.

76841503209 is the 277203-rd square number.

76841503209 is the 138602-nd centered octagonal number.

It is an amenable number.

76841503209 is a deficient number, since it is larger than the sum of its proper divisors (34152980430).

76841503209 is an frugal number, since it uses more digits than its factorization.

76841503209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184808 (or 92404 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 76841503209 in words is "seventy-six billion, eight hundred forty-one million, five hundred three thousand, two hundred nine".