720087840 has 384 divisors, whose sum is σ = 2748211200. Its totient is φ = 175426560.

The previous prime is 720087833. The next prime is 720087857. The reversal of 720087840 is 48780027.

720087840 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 = 720087795 and 720087804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544339 + ... + 2544621.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2^720087840 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 720087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374105600).

720087840 is an abundant number, since it is smaller than the sum of its proper divisors (2028123360).

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

720087840 is a wasteful number, since it uses less digits than its factorization.

720087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 720087840 is about 26834.4524818376. The cubic root of 720087840 is about 896.3173965879.

The spelling of 720087840 in words is "seven hundred twenty million, eighty-seven thousand, eight hundred forty".