720729600 has 180 divisors, whose sum is σ = 2398390764. Its totient is φ = 190791680.

The previous prime is 720729599. The next prime is 720729601. The reversal of 720729600 is 6927027.

It is an interprime number because it is at equal distance from previous prime (720729599) and next prime (720729601).

It is a super-3 number, since 3×720729600³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720729601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5260732 + ... + 5260868.

Almost surely, 2^720729600 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 720729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199195382).

720729600 is an abundant number, since it is smaller than the sum of its proper divisors (1677661164).

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

720729600 is an equidigital number, since it uses as much as digits as its factorization.

720729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 720729600 is about 26846.4075809036. The cubic root of 720729600 is about 896.5835908962.

Multiplying 720729600 by its product of nonzero digits (10584), we get a square (7628202086400 = 2761920²).

The spelling of 720729600 in words is "seven hundred twenty million, seven hundred twenty-nine thousand, six hundred".