784728 has 80 divisors (see below), whose sum is σ = 2526480. Its totient is φ = 222912.

The previous prime is 784727. The next prime is 784753. The reversal of 784728 is 827487.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 784692 and 784701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (784723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4450 + ... + 4622.

It is an arithmetic number, because the mean of its divisors is an integer number (31581).

2⁷⁸⁴⁷²⁸ 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 784728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263240).

784728 is an abundant number, since it is smaller than the sum of its proper divisors (1741752).

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

784728 is a wasteful number, since it uses less digits than its factorization.

784728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 784728 is about 885.8487455542. The cubic root of 784728 is about 92.2372578078.

It can be divided in two parts, 7847 and 28, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 784728 in words is "seven hundred eighty-four thousand, seven hundred twenty-eight".