782561 has 8 divisors (see below), whose sum is σ = 892584. Its totient is φ = 679680.

The previous prime is 782539. The next prime is 782581. The reversal of 782561 is 165287.

It can be written as a sum of positive squares in 4 ways, for example, as 70225 + 712336 = 265^2 + 844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 782561 - 2⁶ = 782497 is a prime.

It is a super-2 number, since 2×782561² = 1224803437442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (782501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1550 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (111573).

2⁷⁸²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

782561 is a deficient number, since it is larger than the sum of its proper divisors (110023).

782561 is a wasteful number, since it uses less digits than its factorization.

782561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571.

The product of its digits is 3360, while the sum is 29.

The square root of 782561 is about 884.6247792143. The cubic root of 782561 is about 92.1522761725.

The spelling of 782561 in words is "seven hundred eighty-two thousand, five hundred sixty-one".