1791767780880 has 1280 divisors, whose sum is σ = 7344387072000. Its totient is φ = 350594334720.

The previous prime is 1791767780851. The next prime is 1791767780911. The reversal of 1791767780880 is 880877671971.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4380850116 + ... + 4380850524.

It is an arithmetic number, because the mean of its divisors is an integer number (5737802400).

Almost surely, 2^{1791767780880} is an apocalyptic number.

1791767780880 is a gapful number since it is divisible by the number (10) 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 1791767780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672193536000).

1791767780880 is an abundant number, since it is smaller than the sum of its proper divisors (5552619291120).

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

1791767780880 is a wasteful number, since it uses less digits than its factorization.

1791767780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 69.

The spelling of 1791767780880 in words is "one trillion, seven hundred ninety-one billion, seven hundred sixty-seven million, seven hundred eighty thousand, eight hundred eighty".