798592113446400 has 7200 divisors, whose sum is σ = 4068486810178560. Its totient is φ = 152630602629120.

The previous prime is 798592113446399. The next prime is 798592113446483. The reversal of 798592113446400 is 4644311295897.

798592113446400 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 9 + 211 + 3 + 4 + 4 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 288612977817 + ... + 288612980583.

It is a 1-persistent number, because it is pandigital, but 2⋅798592113446400 = 1597184226892800 is not.

Almost surely, 2^{798592113446400} is an apocalyptic number.

798592113446400 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 798592113446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034243405089280).

798592113446400 is an abundant number, since it is smaller than the sum of its proper divisors (3269894696732160).

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

798592113446400 is a wasteful number, since it uses less digits than its factorization.

798592113446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 798592113446400 in words is "seven hundred ninety-eight trillion, five hundred ninety-two billion, one hundred thirteen million, four hundred forty-six thousand, four hundred".