19720800 has 288 divisors, whose sum is σ = 78744960. Its totient is φ = 4723200.

The previous prime is 19720787. The next prime is 19720829. The reversal of 19720800 is 802791.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 237559 + ... + 237641.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^19720800 is an apocalyptic number.

19720800 is a gapful number since it is divisible by the number (10) 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 19720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

19720800 is an abundant number, since it is smaller than the sum of its proper divisors (59024160).

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

19720800 is a wasteful number, since it uses less digits than its factorization.

19720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 19720800 is about 4440.8107367912. The cubic root of 19720800 is about 270.1727289815.

The spelling of 19720800 in words is "nineteen million, seven hundred twenty thousand, eight hundred".