720757440 has 672 divisors, whose sum is σ = 2982260736. Its totient is φ = 164229120.

The previous prime is 720757363. The next prime is 720757469. The reversal of 720757440 is 44757027.

It is a happy number.

720757440 is a `hidden beast` number, since 7 + 207 + 5 + 7 + 440 = 666.

720757440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 720757395 and 720757404.

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, 23250225 + ... + 23250255.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^720757440 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 720757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491130368).

720757440 is an abundant number, since it is smaller than the sum of its proper divisors (2261503296).

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

720757440 is a wasteful number, since it uses less digits than its factorization.

720757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 720757440 is about 26846.9260810246. The cubic root of 720757440 is about 896.5951350156.

The spelling of 720757440 in words is "seven hundred twenty million, seven hundred fifty-seven thousand, four hundred forty".