726488180 has 96 divisors (see below), whose sum is σ = 1765048320. Its totient is φ = 248400000.

The previous prime is 726488179. The next prime is 726488197. The reversal of 726488180 is 81884627.

726488180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×726488180⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630605 + ... + 631755.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 2^726488180 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 726488180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

726488180 is an abundant number, since it is smaller than the sum of its proper divisors (1038560140).

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

726488180 is a wasteful number, since it uses less digits than its factorization.

726488180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 726488180 is about 26953.4446778144. Note that the first 3 decimals coincide. The cubic root of 726488180 is about 898.9651397456.

The spelling of 726488180 in words is "seven hundred twenty-six million, four hundred eighty-eight thousand, one hundred eighty".