720732816 has 100 divisors (see below), whose sum is σ = 2208783852. Its totient is φ = 226105344.

The previous prime is 720732811. The next prime is 720732823. The reversal of 720732816 is 618237027.

It can be written as a sum of positive squares in 2 ways, for example, as 474368400 + 246364416 = 21780^2 + 15696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (720732811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5676 + ... + 38388.

Almost surely, 2^720732816 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 720732816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104391926).

720732816 is an abundant number, since it is smaller than the sum of its proper divisors (1488051036).

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

720732816 is a wasteful number, since it uses less digits than its factorization.

720732816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32750 (or 32735 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 720732816 is about 26846.4674771188. The cubic root of 720732816 is about 896.5849244562.

The spelling of 720732816 in words is "seven hundred twenty million, seven hundred thirty-two thousand, eight hundred sixteen".