798940800 has 384 divisors, whose sum is σ = 3344131200. Its totient is φ = 182476800.

The previous prime is 798940799. The next prime is 798940829. The reversal of 798940800 is 8049897.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604140 + ... + 605460.

It is an arithmetic number, because the mean of its divisors is an integer number (8708675).

Almost surely, 2^798940800 is an apocalyptic number.

798940800 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 798940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672065600).

798940800 is an abundant number, since it is smaller than the sum of its proper divisors (2545190400).

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

798940800 is a wasteful number, since it uses less digits than its factorization.

798940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 798940800 is about 28265.5408580837. The cubic root of 798940800 is about 927.9078882019.

The spelling of 798940800 in words is "seven hundred ninety-eight million, nine hundred forty thousand, eight hundred".