726440000 has 280 divisors, whose sum is σ = 2132917248. Its totient is φ = 241920000.

The previous prime is 726439999. The next prime is 726440017. The reversal of 726440000 is 44627.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5719937 + ... + 5720063.

Almost surely, 2^726440000 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 726440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066458624).

726440000 is an abundant number, since it is smaller than the sum of its proper divisors (1406477248).

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

726440000 is a wasteful number, since it uses less digits than its factorization.

726440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 726440000 is about 26952.5508996829. The cubic root of 726440000 is about 898.9452664707.

Adding to 726440000 its reverse (44627), we get a palindrome (726484627).

The spelling of 726440000 in words is "seven hundred twenty-six million, four hundred forty thousand".