795728221920 has 288 divisors, whose sum is σ = 2878780020480. Its totient is φ = 199798824960.

The previous prime is 795728221909. The next prime is 795728221921. The reversal of 795728221920 is 29122827597.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795728221921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410796 + ... + 1892564.

It is an arithmetic number, because the mean of its divisors is an integer number (9995763960).

Almost surely, 2^795728221920 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 795728221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439390010240).

795728221920 is an abundant number, since it is smaller than the sum of its proper divisors (2083051798560).

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

795728221920 is a wasteful number, since it uses less digits than its factorization.

795728221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481858 (or 481847 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 795728221920 in words is "seven hundred ninety-five billion, seven hundred twenty-eight million, two hundred twenty-one thousand, nine hundred twenty".