720079584 has 96 divisors (see below), whose sum is σ = 2254210560. Its totient is φ = 196787712.

The previous prime is 720079583. The next prime is 720079609. The reversal of 720079584 is 485970027.

720079584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×720079584² = 1037029214587226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720079583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7839 + ... + 38750.

It is an arithmetic number, because the mean of its divisors is an integer number (23481360).

Almost surely, 2^720079584 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 720079584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127105280).

720079584 is an abundant number, since it is smaller than the sum of its proper divisors (1534130976).

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

720079584 is a wasteful number, since it uses less digits than its factorization.

720079584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46632 (or 46624 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 720079584 is about 26834.2986493033. The cubic root of 720079584 is about 896.3139710684.

The spelling of 720079584 in words is "seven hundred twenty million, seventy-nine thousand, five hundred eighty-four".