720793440 has 144 divisors (see below), whose sum is σ = 2479132656. Its totient is φ = 190694400.

The previous prime is 720793429. The next prime is 720793487. The reversal of 720793440 is 44397027.

720793440 is a `hidden beast` number, since 7 + 207 + 9 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 720793395 and 720793404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186730 + ... + 190550.

It is an arithmetic number, because the mean of its divisors is an integer number (17216199).

Almost surely, 2^720793440 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 720793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239566328).

720793440 is an abundant number, since it is smaller than the sum of its proper divisors (1758339216).

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

720793440 is a wasteful number, since it uses less digits than its factorization.

720793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 720793440 is about 26847.5965404727. The cubic root of 720793440 is about 896.6100623156.

The spelling of 720793440 in words is "seven hundred twenty million, seven hundred ninety-three thousand, four hundred forty".