797257728000 has 1024 divisors, whose sum is σ = 3017965392000. Its totient is φ = 210213273600.

The previous prime is 797257727977. The next prime is 797257728013. The reversal of 797257728000 is 827752797.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957951956 + ... + 8957952044.

Almost surely, 2^797257728000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797257728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508982696000).

797257728000 is an abundant number, since it is smaller than the sum of its proper divisors (2220707664000).

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

797257728000 is an frugal number, since it uses more digits than its factorization.

797257728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 797257728000 in words is "seven hundred ninety-seven billion, two hundred fifty-seven million, seven hundred twenty-eight thousand".