797057318400 has 960 divisors, whose sum is σ = 3183372251136. Its totient is φ = 171933696000.

The previous prime is 797057318389. The next prime is 797057318417. The reversal of 797057318400 is 4813750797.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 341643634 + ... + 341645966.

Almost surely, 2^797057318400 is an apocalyptic number.

797057318400 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 797057318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591686125568).

797057318400 is an abundant number, since it is smaller than the sum of its proper divisors (2386314932736).

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

797057318400 is a wasteful number, since it uses less digits than its factorization.

797057318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 797057318400 in words is "seven hundred ninety-seven billion, fifty-seven million, three hundred eighteen thousand, four hundred".