1768845000 has 320 divisors, whose sum is σ = 6109044480. Its totient is φ = 423936000.

The previous prime is 1768844993. The next prime is 1768845037. The reversal of 1768845000 is 5488671.

1768845000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1768845000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9164904 + ... + 9165096.

It is an arithmetic number, because the mean of its divisors is an integer number (19090764).

Almost surely, 2^1768845000 is an apocalyptic number.

1768845000 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 1768845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054522240).

1768845000 is an abundant number, since it is smaller than the sum of its proper divisors (4340199480).

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

1768845000 is a wasteful number, since it uses less digits than its factorization.

1768845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1768845000 is about 42057.6390207534. The cubic root of 1768845000 is about 1209.3813288801.

The spelling of 1768845000 in words is "one billion, seven hundred sixty-eight million, eight hundred forty-five thousand".