726480000 has 240 divisors, whose sum is σ = 2614905150. Its totient is φ = 193536000.

The previous prime is 726479981. The next prime is 726480011. The reversal of 726480000 is 84627.

It can be written as a sum of positive squares in 5 ways, for example, as 69696 + 726410304 = 264^2 + 26952^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719496 + ... + 720504.

Almost surely, 2^726480000 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 726480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307452575).

726480000 is an abundant number, since it is smaller than the sum of its proper divisors (1888425150).

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

726480000 is a wasteful number, since it uses less digits than its factorization.

726480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1019 counting only the distinct ones).

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

The square root of 726480000 is about 26953.2929342594. The cubic root of 726480000 is about 898.9617657231.

It can be divided in two parts, 72 and 6480000, that multiplied together give a square (466560000 = 21600²).

The spelling of 726480000 in words is "seven hundred twenty-six million, four hundred eighty thousand".