797971291840800 has 864 divisors, whose sum is σ = 3625383704342400. Its totient is φ = 165812212684800.

The previous prime is 797971291840799. The next prime is 797971291840813. The reversal of 797971291840800 is 8048192179797.

797971291840800 is a `hidden beast` number, since 7 + 9 + 7 + 97 + 129 + 1 + 8 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3513015 + ... + 40103414.

It is an arithmetic number, because the mean of its divisors is an integer number (4196045954100).

Almost surely, 2^{797971291840800} is an apocalyptic number.

797971291840800 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 797971291840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812691852171200).

797971291840800 is an abundant number, since it is smaller than the sum of its proper divisors (2827412412501600).

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

797971291840800 is a wasteful number, since it uses less digits than its factorization.

797971291840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43616487 (or 43616457 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 72.

The spelling of 797971291840800 in words is "seven hundred ninety-seven trillion, nine hundred seventy-one billion, two hundred ninety-one million, eight hundred forty thousand, eight hundred".