798912000 has 480 divisors, whose sum is σ = 3070473120. Its totient is φ = 199065600.

The previous prime is 798911989. The next prime is 798912013. The reversal of 798912000 is 219897.

It is a happy number.

798912000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943964 + ... + 10944036.

It is an arithmetic number, because the mean of its divisors is an integer number (6396819).

Almost surely, 2^798912000 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 798912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535236560).

798912000 is an abundant number, since it is smaller than the sum of its proper divisors (2271561120).

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

798912000 is a wasteful number, since it uses less digits than its factorization.

798912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 798912000 is about 28265.0313992396. The cubic root of 798912000 is about 927.8967384111.

The spelling of 798912000 in words is "seven hundred ninety-eight million, nine hundred twelve thousand".