783828 has 18 divisors (see below), whose sum is σ = 1981434. Its totient is φ = 261264.

The previous prime is 783803. The next prime is 783829. The reversal of 783828 is 828387.

It can be written as a sum of positive squares in only one way, i.e., 535824 + 248004 = 732^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×783828² = 1228772667168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 21773 = 783828 / (7 + 8 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 783792 and 783801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783829) by changing a digit.

783828 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10851 + ... + 10922.

2⁷⁸³⁸²⁸ is an apocalyptic number.

It is an amenable number.

783828 is an abundant number, since it is smaller than the sum of its proper divisors (1197606).

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

783828 is a wasteful number, since it uses less digits than its factorization.

783828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783 (or 21778 counting only the distinct ones).

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

The square root of 783828 is about 885.3406124199. The cubic root of 783828 is about 92.2019821929.

The spelling of 783828 in words is "seven hundred eighty-three thousand, eight hundred twenty-eight".