726220800 has 270 divisors, whose sum is σ = 2614609998. Its totient is φ = 192675840.

The previous prime is 726220783. The next prime is 726220801. The reversal of 726220800 is 8022627.

It can be written as a sum of positive squares in 3 ways, for example, as 212926464 + 513294336 = 14592^2 + 22656^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726220801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686302 + ... + 3686498.

Almost surely, 2^726220800 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 726220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307304999).

726220800 is an abundant number, since it is smaller than the sum of its proper divisors (1888389198).

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

726220800 is a wasteful number, since it uses less digits than its factorization.

726220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

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

The square root of 726220800 is about 26948.4841874269. The cubic root of 726220800 is about 898.8548398122.

The spelling of 726220800 in words is "seven hundred twenty-six million, two hundred twenty thousand, eight hundred".