720005760 has 640 divisors, whose sum is σ = 2932459200. Its totient is φ = 167215104.

The previous prime is 720005749. The next prime is 720005761. The reversal of 720005760 is 67500027.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16744299 + ... + 16744341.

Almost surely, 2^720005760 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 720005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466229600).

720005760 is an abundant number, since it is smaller than the sum of its proper divisors (2212453440).

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

720005760 is a wasteful number, since it uses less digits than its factorization.

720005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 720005760 is about 26832.9230610457. The cubic root of 720005760 is about 896.2833393876.

Adding to 720005760 its reverse (67500027), we get a palindrome (787505787).

The spelling of 720005760 in words is "seven hundred twenty million, five thousand, seven hundred sixty".