798412800 has 312 divisors, whose sum is σ = 2778911424. Its totient is φ = 201850880.

The previous prime is 798412793. The next prime is 798412801. The reversal of 798412800 is 8214897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798412801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7065544 + ... + 7065656.

Almost surely, 2^798412800 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 798412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389455712).

798412800 is an abundant number, since it is smaller than the sum of its proper divisors (1980498624).

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

798412800 is a wasteful number, since it uses less digits than its factorization.

798412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 798412800 is about 28256.1993197953. The cubic root of 798412800 is about 927.7034327807.

The spelling of 798412800 in words is "seven hundred ninety-eight million, four hundred twelve thousand, eight hundred".