798688800 has 864 divisors, whose sum is σ = 3685264128. Its totient is φ = 158146560.

The previous prime is 798688763. The next prime is 798688811. The reversal of 798688800 is 8886897.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15069574 + ... + 15069626.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^798688800 is an apocalyptic number.

798688800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064).

798688800 is an abundant number, since it is smaller than the sum of its proper divisors (2886575328).

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

798688800 is a wasteful number, since it uses less digits than its factorization.

798688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 798688800 is about 28261.0827818044. The cubic root of 798688800 is about 927.8103184457.

The spelling of 798688800 in words is "seven hundred ninety-eight million, six hundred eighty-eight thousand, eight hundred".