720064800 has 648 divisors, whose sum is σ = 3201146676. Its totient is φ = 150958080.

The previous prime is 720064789. The next prime is 720064811. The reversal of 720064800 is 8460027.

It is an interprime number because it is at equal distance from previous prime (720064789) and next prime (720064811).

It can be written as a sum of positive squares in 6 ways, for example, as 80784144 + 639280656 = 8988^2 + 25284^2 .

720064800 is a modest number, since divided by 64800 gives 7200 as remainder.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4586322 + ... + 4586478.

Almost surely, 2^720064800 is an apocalyptic number.

720064800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600573338).

720064800 is an abundant number, since it is smaller than the sum of its proper divisors (2481081876).

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

720064800 is a wasteful number, since it uses less digits than its factorization.

720064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 720064800 is about 26834.0231795383. The cubic root of 720064800 is about 896.3078369333.

It can be divided in two parts, 7200 and 64800, that multiplied together give a square (466560000 = 21600²).

The spelling of 720064800 in words is "seven hundred twenty million, sixty-four thousand, eight hundred".