820782 has 12 divisors (see below), whose sum is σ = 1778400. Its totient is φ = 273588.

The previous prime is 820763. The next prime is 820789. The reversal of 820782 is 287028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22782 + ... + 22817.

It is an arithmetic number, because the mean of its divisors is an integer number (148200).

2⁸²⁰⁷⁸² is an apocalyptic number.

820782 is an abundant number, since it is smaller than the sum of its proper divisors (957618).

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

820782 is a wasteful number, since it uses less digits than its factorization.

820782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45607 (or 45604 counting only the distinct ones).

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

The square root of 820782 is about 905.9701981853. The cubic root of 820782 is about 93.6287606117.

The spelling of 820782 in words is "eight hundred twenty thousand, seven hundred eighty-two".