797501952000 has 624 divisors, whose sum is σ = 3096288821808. Its totient is φ = 196293427200.

The previous prime is 797501951977. The next prime is 797501952041. The reversal of 797501952000 is 259105797.

797501952000 is a `hidden beast` number, since 7 + 97 + 501 + 9 + 52 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 470354558976 + 327147393024 = 685824^2 + 571968^2 .

It is a tau number, because it is divible by the number of its divisors (624).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59897344 + ... + 59910656.

It is an arithmetic number, because the mean of its divisors is an integer number (4962001317).

Almost surely, 2^797501952000 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 797501952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548144410904).

797501952000 is an abundant number, since it is smaller than the sum of its proper divisors (2298786869808).

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

797501952000 is a wasteful number, since it uses less digits than its factorization.

797501952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 797501952000 in words is "seven hundred ninety-seven billion, five hundred one million, nine hundred fifty-two thousand".