783328 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 308736.

The previous prime is 783323. The next prime is 783329. The reversal of 783328 is 823387.

It is a super-2 number, since 2×783328² = 1227205511168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 783328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783323) by changing a digit.

783328 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 7 ways as a sum of consecutive naturals, for example, 2778 + ... + 3046.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁷⁸³³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

783328 is an abundant number, since it is smaller than the sum of its proper divisors (1121792).

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

783328 is a wasteful number, since it uses less digits than its factorization.

783328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 783328 is about 885.0581901773. The cubic root of 783328 is about 92.1823729601.

It can be divided in two parts, 783 and 328, that added together give a palindrome (1111).

The spelling of 783328 in words is "seven hundred eighty-three thousand, three hundred twenty-eight".