720395280 has 180 divisors, whose sum is σ = 2659582380. Its totient is φ = 174620160.

The previous prime is 720395231. The next prime is 720395303. The reversal of 720395280 is 82593027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 485937936 + 234457344 = 22044^2 + 15312^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82986 + ... + 91254.

Almost surely, 2^720395280 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 720395280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329791190).

720395280 is an abundant number, since it is smaller than the sum of its proper divisors (1939187100).

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

720395280 is a wasteful number, since it uses less digits than its factorization.

720395280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 720395280 is about 26840.1803272631. The cubic root of 720395280 is about 896.4449387188. Note that the first 3 decimals are identical.

The spelling of 720395280 in words is "seven hundred twenty million, three hundred ninety-five thousand, two hundred eighty".