726840 has 64 divisors (see below), whose sum is σ = 2426400. Its totient is φ = 193536.

The previous prime is 726839. The next prime is 726841. The reversal of 726840 is 48627.

726840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (726839) and next prime (726841).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744 + ... + 1416.

2⁷²⁶⁸⁴⁰ 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 726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213200).

726840 is an abundant number, since it is smaller than the sum of its proper divisors (1699560).

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

726840 is a wasteful number, since it uses less digits than its factorization.

726840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 726840 is about 852.5491188196. The cubic root of 726840 is about 89.9110231748.

The spelling of 726840 in words is "seven hundred twenty-six thousand, eight hundred forty".