720553680 has 480 divisors, whose sum is σ = 3100301568. Its totient is φ = 145612800.

The previous prime is 720553679. The next prime is 720553681. The reversal of 720553680 is 86355027.

720553680 is a `hidden beast` number, since 7 + 20 + 553 + 6 + 80 = 666.

720553680 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 (720553679) and next prime (720553681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720553681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2272882 + ... + 2273198.

Almost surely, 2^720553680 is an apocalyptic number.

720553680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550150784).

720553680 is an abundant number, since it is smaller than the sum of its proper divisors (2379747888).

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

720553680 is a wasteful number, since it uses less digits than its factorization.

720553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 720553680 is about 26843.1309649229. The cubic root of 720553680 is about 896.5106371282.

The spelling of 720553680 in words is "seven hundred twenty million, five hundred fifty-three thousand, six hundred eighty".