1791118980 has 576 divisors, whose sum is σ = 7220828160. Its totient is φ = 362797056.

The previous prime is 1791118969. The next prime is 1791119003. The reversal of 1791118980 is 898111971.

1791118980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10988379 + ... + 10988541.

It is an arithmetic number, because the mean of its divisors is an integer number (12536160).

Almost surely, 2^1791118980 is an apocalyptic number.

1791118980 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 1791118980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610414080).

1791118980 is an abundant number, since it is smaller than the sum of its proper divisors (5429709180).

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

1791118980 is a wasteful number, since it uses less digits than its factorization.

1791118980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 45.

The square root of 1791118980 is about 42321.6136270818. The cubic root of 1791118980 is about 1214.4365013869.

The spelling of 1791118980 in words is "one billion, seven hundred ninety-one million, one hundred eighteen thousand, nine hundred eighty".