838782 has 48 divisors (see below), whose sum is σ = 2175120. Its totient is φ = 238896.

The previous prime is 838781. The next prime is 838807. The reversal of 838782 is 287838.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (45315).

2⁸³⁸⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087560).

838782 is an abundant number, since it is smaller than the sum of its proper divisors (1336338).

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

838782 is a wasteful number, since it uses less digits than its factorization.

838782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 838782 is about 915.8504244690. The cubic root of 838782 is about 94.3082531713.

The spelling of 838782 in words is "eight hundred thirty-eight thousand, seven hundred eighty-two".