782106 has 32 divisors (see below), whose sum is σ = 1736448. Its totient is φ = 233280.

The previous prime is 782087. The next prime is 782107. The reversal of 782106 is 601287.

It is a super-2 number, since 2×782106² = 1223379590472, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (782107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2⁷⁸²¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868224).

782106 is an abundant number, since it is smaller than the sum of its proper divisors (954342).

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

782106 is a wasteful number, since it uses less digits than its factorization.

782106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 782106 is about 884.3675706402. The cubic root of 782106 is about 92.1344128517.

It can be divided in two parts, 782 and 106, that added together give a palindrome (888).

The spelling of 782106 in words is "seven hundred eighty-two thousand, one hundred six".