720668160 has 240 divisors, whose sum is σ = 2578942080. Its totient is φ = 185794560.

The previous prime is 720668153. The next prime is 720668161. The reversal of 720668160 is 61866027.

It is a happy number.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720668161) 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, 713736 + ... + 714744.

It is an arithmetic number, because the mean of its divisors is an integer number (10745592).

Almost surely, 2^720668160 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 720668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289471040).

720668160 is an abundant number, since it is smaller than the sum of its proper divisors (1858273920).

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

720668160 is a wasteful number, since it uses less digits than its factorization.

720668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

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

The square root of 720668160 is about 26845.2632693367. The cubic root of 720668160 is about 896.5581131667.

The spelling of 720668160 in words is "seven hundred twenty million, six hundred sixty-eight thousand, one hundred sixty".