782082 has 32 divisors (see below), whose sum is σ = 1987200. Its totient is φ = 223344.

The previous prime is 782071. The next prime is 782083. The reversal of 782082 is 280287.

It is a super-2 number, since 2×782082² = 1223304509448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (782083) by changing a digit.

782082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 657 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (62100).

2⁷⁸²⁰⁸² is an apocalyptic number.

782082 is an abundant number, since it is smaller than the sum of its proper divisors (1205118).

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

782082 is a wasteful number, since it uses less digits than its factorization.

782082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 782082 is about 884.3540015175. The cubic root of 782082 is about 92.1334704183.

It can be divided in two parts, 78208 and 2, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 782082 in words is "seven hundred eighty-two thousand, eighty-two".