726800 has 60 divisors (see below), whose sum is σ = 1845120. Its totient is φ = 274560.

The previous prime is 726797. The next prime is 726809. The reversal of 726800 is 8627.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (726809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9161 + ... + 9239.

It is an arithmetic number, because the mean of its divisors is an integer number (30752).

2⁷²⁶⁸⁰⁰ 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 726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922560).

726800 is an abundant number, since it is smaller than the sum of its proper divisors (1118320).

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

726800 is a wasteful number, since it uses less digits than its factorization.

726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 726800 is about 852.5256594379. The cubic root of 726800 is about 89.9093737944.

The spelling of 726800 in words is "seven hundred twenty-six thousand, eight hundred".