720689760 has 576 divisors, whose sum is σ = 3056901120. Its totient is φ = 150958080.

The previous prime is 720689731. The next prime is 720689777. The reversal of 720689760 is 67986027.

It is a happy number.

720689760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10150525 + ... + 10150595.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^720689760 is an apocalyptic number.

720689760 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 720689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528450560).

720689760 is an abundant number, since it is smaller than the sum of its proper divisors (2336211360).

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

720689760 is a wasteful number, since it uses less digits than its factorization.

720689760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 720689760 is about 26845.6655719317. The cubic root of 720689760 is about 896.5670703460.

The spelling of 720689760 in words is "seven hundred twenty million, six hundred eighty-nine thousand, seven hundred sixty".