726940800 has 288 divisors, whose sum is σ = 2658736080. Its totient is φ = 189020160.

The previous prime is 726940777. The next prime is 726940801. The reversal of 726940800 is 8049627.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (726940801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238107 + ... + 1238693.

Almost surely, 2^726940800 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 726940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329368040).

726940800 is an abundant number, since it is smaller than the sum of its proper divisors (1931795280).

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

726940800 is a wasteful number, since it uses less digits than its factorization.

726940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 726940800 is about 26961.8396998424. The cubic root of 726940800 is about 899.1517934500.

The spelling of 726940800 in words is "seven hundred twenty-six million, nine hundred forty thousand, eight hundred".