726988800 has 144 divisors (see below), whose sum is σ = 2403830520. Its totient is φ = 193822720.

The previous prime is 726988763. The next prime is 726988813. The reversal of 726988800 is 8889627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 726988800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151234 + ... + 155966.

Almost surely, 2^726988800 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 726988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201915260).

726988800 is an abundant number, since it is smaller than the sum of its proper divisors (1676841720).

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

726988800 is a wasteful number, since it uses less digits than its factorization.

726988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 726988800 is about 26962.7298321220. The cubic root of 726988800 is about 899.1715833862.

It can be divided in two parts, 7269 and 88800, that added together give a palindrome (96069).

The spelling of 726988800 in words is "seven hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred".