721828800 has 1008 divisors, whose sum is σ = 3446922240. Its totient is φ = 145152000.

The previous prime is 721828787. The next prime is 721828837. The reversal of 721828800 is 8828127.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 23284785 + ... + 23284815.

Almost surely, 2^721828800 is an apocalyptic number.

721828800 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 721828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723461120).

721828800 is an abundant number, since it is smaller than the sum of its proper divisors (2725093440).

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

721828800 is a wasteful number, since it uses less digits than its factorization.

721828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 721828800 is about 26866.8717940887. The cubic root of 721828800 is about 897.0391589263.

The spelling of 721828800 in words is "seven hundred twenty-one million, eight hundred twenty-eight thousand, eight hundred".