726784 has 36 divisors (see below), whose sum is σ = 1545264. Its totient is φ = 339968.

The previous prime is 726779. The next prime is 726787. The reversal of 726784 is 487627.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726787) by changing a digit.

726784 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4269 + ... + 4435.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

2⁷²⁶⁷⁸⁴ 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 726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772632).

726784 is an abundant number, since it is smaller than the sum of its proper divisors (818480).

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

726784 is a wasteful number, since it uses less digits than its factorization.

726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 726784 is about 852.5162755045. The cubic root of 726784 is about 89.9087140253.

The spelling of 726784 in words is "seven hundred twenty-six thousand, seven hundred eighty-four".