722120800 has 72 divisors (see below), whose sum is σ = 1768058712. Its totient is φ = 288000000.

The previous prime is 722120797. The next prime is 722120837. The reversal of 722120800 is 8021227.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319675 + ... + 321925.

It is an arithmetic number, because the mean of its divisors is an integer number (24556371).

Almost surely, 2^722120800 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 722120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884029356).

722120800 is an abundant number, since it is smaller than the sum of its proper divisors (1045937912).

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

722120800 is a wasteful number, since it uses less digits than its factorization.

722120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 722120800 is about 26872.3054463141. The cubic root of 722120800 is about 897.1601017880.

The spelling of 722120800 in words is "seven hundred twenty-two million, one hundred twenty thousand, eight hundred".