798144600 has 384 divisors, whose sum is σ = 2879815680. Its totient is φ = 181056000.

The previous prime is 798144587. The next prime is 798144619. The reversal of 798144600 is 6441897.

It is a happy number.

798144600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9616159 + ... + 9616241.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^798144600 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 798144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

798144600 is an abundant number, since it is smaller than the sum of its proper divisors (2081671080).

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

798144600 is a wasteful number, since it uses less digits than its factorization.

798144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 798144600 is about 28251.4530599755. The cubic root of 798144600 is about 927.5995441967.

The spelling of 798144600 in words is "seven hundred ninety-eight million, one hundred forty-four thousand, six hundred".