720624000 has 128 divisors (see below), whose sum is σ = 2389027680. Its totient is φ = 192153600.

The previous prime is 720623993. The next prime is 720624007. The reversal of 720624000 is 426027.

It is a happy number.

720624000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (720623993) and next prime (720624007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720624007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40494 + ... + 55506.

Almost surely, 2^720624000 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 720624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194513840).

720624000 is an abundant number, since it is smaller than the sum of its proper divisors (1668403680).

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

720624000 is a wasteful number, since it uses less digits than its factorization.

720624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 720624000 is about 26844.4407652683. The cubic root of 720624000 is about 896.5398001543.

The spelling of 720624000 in words is "seven hundred twenty million, six hundred twenty-four thousand".