726197760 has 240 divisors, whose sum is σ = 2577027024. Its totient is φ = 188891136.

The previous prime is 726197753. The next prime is 726197761. The reversal of 726197760 is 67791627.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726197761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 990354 + ... + 991086.

Almost surely, 2^726197760 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 726197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288513512).

726197760 is an abundant number, since it is smaller than the sum of its proper divisors (1850829264).

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

726197760 is a wasteful number, since it uses less digits than its factorization.

726197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 726197760 is about 26948.0567017364. The cubic root of 726197760 is about 898.8453340556.

The spelling of 726197760 in words is "seven hundred twenty-six million, one hundred ninety-seven thousand, seven hundred sixty".