782838 has 64 divisors (see below), whose sum is σ = 2112000. Its totient is φ = 209952.

The previous prime is 782791. The next prime is 782839. The reversal of 782838 is 838287.

It is a super-2 number, since 2×782838² = 1225670668488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782839) by changing a digit.

782838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7128 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2⁷⁸²⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056000).

782838 is an abundant number, since it is smaller than the sum of its proper divisors (1329162).

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

782838 is a wasteful number, since it uses less digits than its factorization.

782838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

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

The square root of 782838 is about 884.7813289169. The cubic root of 782838 is about 92.1631478146.

It can be divided in two parts, 78 and 2838, that added together give a square (2916 = 54²).

The spelling of 782838 in words is "seven hundred eighty-two thousand, eight hundred thirty-eight".