720564840 has 96 divisors (see below), whose sum is σ = 2362693320. Its totient is φ = 190439424.

The previous prime is 720564829. The next prime is 720564841. The reversal of 720564840 is 48465027.

720564840 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 648 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 539447076 + 181117764 = 23226^2 + 13458^2 .

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 = 720564795 and 720564804.

It is not an unprimeable number, because it can be changed into a prime (720564841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31824 + ... + 49536.

Almost surely, 2^720564840 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 720564840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181346660).

720564840 is an abundant number, since it is smaller than the sum of its proper divisors (1642128480).

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

720564840 is a wasteful number, since it uses less digits than its factorization.

720564840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17836 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 720564840 is about 26843.3388385275. The cubic root of 720564840 is about 896.5152655167.

The spelling of 720564840 in words is "seven hundred twenty million, five hundred sixty-four thousand, eight hundred forty".