726400 has 48 divisors (see below), whose sum is σ = 1802340. Its totient is φ = 289280.

The previous prime is 726391. The next prime is 726413. The reversal of 726400 is 4627.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

726400 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 5 ways as a sum of consecutive naturals, for example, 3087 + ... + 3313.

2⁷²⁶⁴⁰⁰ 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 726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901170).

726400 is an abundant number, since it is smaller than the sum of its proper divisors (1075940).

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

726400 is a wasteful number, since it uses less digits than its factorization.

726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 726400 is about 852.2910301065. The cubic root of 726400 is about 89.8928766613.

The spelling of 726400 in words is "seven hundred twenty-six thousand, four hundred".