797668300800 has 2016 divisors, whose sum is σ = 3516502429440. Its totient is φ = 175575859200.

The previous prime is 797668300799. The next prime is 797668300811. The reversal of 797668300800 is 8003866797.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 11234764765 + ... + 11234764835.

It is an arithmetic number, because the mean of its divisors is an integer number (1744296840).

Almost surely, 2^797668300800 is an apocalyptic number.

797668300800 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 797668300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758251214720).

797668300800 is an abundant number, since it is smaller than the sum of its proper divisors (2718834128640).

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

797668300800 is an equidigital number, since it uses as much as digits as its factorization.

797668300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 797668300800 in words is "seven hundred ninety-seven billion, six hundred sixty-eight million, three hundred thousand, eight hundred".