1768113180 has 144 divisors (see below), whose sum is σ = 5643237600. Its totient is φ = 447444480.

The previous prime is 1768113131. The next prime is 1768113199. The reversal of 1768113180 is 813118671.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 305110 + ... + 310850.

It is an arithmetic number, because the mean of its divisors is an integer number (39189150).

Almost surely, 2^1768113180 is an apocalyptic number.

1768113180 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 1768113180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821618800).

1768113180 is an abundant number, since it is smaller than the sum of its proper divisors (3875124420).

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

1768113180 is a wasteful number, since it uses less digits than its factorization.

1768113180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1768113180 is about 42048.9379176217. The cubic root of 1768113180 is about 1209.2145210613.

The spelling of 1768113180 in words is "one billion, seven hundred sixty-eight million, one hundred thirteen thousand, one hundred eighty".