82325381776 has 45 divisors (see below), whose sum is σ = 175351037449. Its totient is φ = 37414889600.

The previous prime is 82325381669. The next prime is 82325381779. The reversal of 82325381776 is 67718352328.

The square root of 82325381776 is 286924.

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., 76328428176 + 5996953600 = 276276^2 + 77440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82325381779) 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, 12621396 + ... + 12627916.

Almost surely, 2^82325381776 is an apocalyptic number.

82325381776 is the 286924-th square number.

It is an amenable number.

82325381776 is an abundant number, since it is smaller than the sum of its proper divisors (93025655673).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82325381776 is an frugal number, since it uses more digits than its factorization.

82325381776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 6534 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The spelling of 82325381776 in words is "eighty-two billion, three hundred twenty-five million, three hundred eighty-one thousand, seven hundred seventy-six".