782682112 has 48 divisors (see below), whose sum is σ = 1570268700. Its totient is φ = 390021120.

The previous prime is 782682101. The next prime is 782682113. The reversal of 782682112 is 211286287.

It can be written as a sum of positive squares in 2 ways, for example, as 780420096 + 2262016 = 27936^2 + 1504^2 .

It is a super-2 number, since 2×782682112² = 1225182576889561088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782682113) 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 3 ways as a sum of consecutive naturals, for example, 943714 + ... + 944542.

Almost surely, 2^782682112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785134350).

782682112 is an abundant number, since it is smaller than the sum of its proper divisors (787586588).

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

782682112 is an equidigital number, since it uses as much as digits as its factorization.

782682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1292 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 782682112 is about 27976.4563874698. The cubic root of 782682112 is about 921.5702986827.

The spelling of 782682112 in words is "seven hundred eighty-two million, six hundred eighty-two thousand, one hundred twelve".