797161305600 has 1440 divisors, whose sum is σ = 3371080737024. Its totient is φ = 184666521600.

The previous prime is 797161305583. The next prime is 797161305613. The reversal of 797161305600 is 6503161797.

797161305600 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 6 + 1 + 30 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×797161305600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 786930694 + ... + 786931706.

Almost surely, 2^797161305600 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 797161305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685540368512).

797161305600 is an abundant number, since it is smaller than the sum of its proper divisors (2573919431424).

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

797161305600 is a wasteful number, since it uses less digits than its factorization.

797161305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 797161305600 in words is "seven hundred ninety-seven billion, one hundred sixty-one million, three hundred five thousand, six hundred".