798864000 has 512 divisors, whose sum is σ = 3093292800. Its totient is φ = 180224000.

The previous prime is 798863999. The next prime is 798864043. The reversal of 798864000 is 468897.

It is a happy number.

798864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8975956 + ... + 8976044.

Almost surely, 2^798864000 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 798864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

798864000 is an abundant number, since it is smaller than the sum of its proper divisors (2294428800).

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

798864000 is a wasteful number, since it uses less digits than its factorization.

798864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 798864000 is about 28264.1822807595. The cubic root of 798864000 is about 927.8781548310.

The spelling of 798864000 in words is "seven hundred ninety-eight million, eight hundred sixty-four thousand".