720400200 has 192 divisors, whose sum is σ = 2532129600. Its totient is φ = 167961600.

The previous prime is 720400189. The next prime is 720400201. The reversal of 720400200 is 2004027.

720400200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 720400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720400201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145770 + ... + 150630.

It is an arithmetic number, because the mean of its divisors is an integer number (13188175).

Almost surely, 2^720400200 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 720400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266064800).

720400200 is an abundant number, since it is smaller than the sum of its proper divisors (1811729400).

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

720400200 is a wasteful number, since it uses less digits than its factorization.

720400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 720400200 is about 26840.2719807382. The cubic root of 720400200 is about 896.4469794961.

Adding to 720400200 its reverse (2004027), we get a palindrome (722404227).

It can be divided in two parts, 720400 and 200, that added together give a triangular number (720600 = T₁₂₀₀).

The spelling of 720400200 in words is "seven hundred twenty million, four hundred thousand, two hundred".