720416000 has 144 divisors (see below), whose sum is σ = 1836656640. Its totient is φ = 281446400.

The previous prime is 720415991. The next prime is 720416033. The reversal of 720416000 is 614027.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503761 + ... + 1504239.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 2^720416000 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 720416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

720416000 is an abundant number, since it is smaller than the sum of its proper divisors (1116240640).

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

720416000 is an equidigital number, since it uses as much as digits as its factorization.

720416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 720416000 is about 26840.5663129525. The cubic root of 720416000 is about 896.4535331490.

The spelling of 720416000 in words is "seven hundred twenty million, four hundred sixteen thousand".