1000799760352 has 96 divisors (see below), whose sum is σ = 2286692819712. Its totient is φ = 422275037184.

The previous prime is 1000799760319. The next prime is 1000799760353. The reversal of 1000799760352 is 2530679970001.

It is a junction number, because it is equal to n+sod(n) for n = 1000799760296 and 1000799760305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000799760353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28092183 + ... + 28127785.

It is an arithmetic number, because the mean of its divisors is an integer number (23819716872).

Almost surely, 2^{1000799760352} 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 1000799760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143346409856).

1000799760352 is an abundant number, since it is smaller than the sum of its proper divisors (1285893059360).

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

1000799760352 is a wasteful number, since it uses less digits than its factorization.

1000799760352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37560 (or 37552 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 1000799760352 in words is "one trillion, seven hundred ninety-nine million, seven hundred sixty thousand, three hundred fifty-two".