720993120 has 192 divisors, whose sum is σ = 2424945600. Its totient is φ = 179437568.

The previous prime is 720993107. The next prime is 720993181. The reversal of 720993120 is 21399027.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215544 + ... + 1216136.

It is an arithmetic number, because the mean of its divisors is an integer number (12629925).

Almost surely, 2^720993120 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 720993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212472800).

720993120 is an abundant number, since it is smaller than the sum of its proper divisors (1703952480).

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

720993120 is a wasteful number, since it uses less digits than its factorization.

720993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 720993120 is about 26851.3150515948. The cubic root of 720993120 is about 896.6928500498.

The spelling of 720993120 in words is "seven hundred twenty million, nine hundred ninety-three thousand, one hundred twenty".