1800117000 has 768 divisors, whose sum is σ = 7469280000. Its totient is φ = 399168000.

The previous prime is 1800116977. The next prime is 1800117089. The reversal of 1800117000 is 7110081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62072986 + ... + 62073014.

It is an arithmetic number, because the mean of its divisors is an integer number (9725625).

Almost surely, 2^1800117000 is an apocalyptic number.

1800117000 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 1800117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640000).

1800117000 is an abundant number, since it is smaller than the sum of its proper divisors (5669163000).

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

1800117000 is a wasteful number, since it uses less digits than its factorization.

1800117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1800117000 is about 42427.7857070104. The cubic root of 1800117000 is about 1216.4667547523.

Adding to 1800117000 its reverse (7110081), we get a palindrome (1807227081).

The spelling of 1800117000 in words is "one billion, eight hundred million, one hundred seventeen thousand".