782373861361 has 9 divisors (see below), whose sum is σ = 786620254539. Its totient is φ = 778150283136.

The previous prime is 782373861359. The next prime is 782373861371. The reversal of 782373861361 is 163168373287.

It is a happy number.

The square root of 782373861361 is 884519.

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., 189560098225 + 592813763136 = 435385^2 + 769944^2 .

It is not a de Polignac number, because 782373861361 - 2¹ = 782373861359 is a prime.

It is a super-2 number, since 2×782373861361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (782373861371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170709876 + ... + 170714458.

Almost surely, 2^782373861361 is an apocalyptic number.

782373861361 is the 884519-th square number.

782373861361 is the 442260-th centered octagonal number.

It is an amenable number.

782373861361 is a deficient number, since it is larger than the sum of its proper divisors (4246393178).

782373861361 is an frugal number, since it uses more digits than its factorization.

782373861361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552 (or 4776 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 55.

The spelling of 782373861361 in words is "seven hundred eighty-two billion, three hundred seventy-three million, eight hundred sixty-one thousand, three hundred sixty-one".