1755000000 has 448 divisors, whose sum is σ = 6945294720. Its totient is φ = 432000000.

The previous prime is 1754999969. The next prime is 1755000011. The reversal of 1755000000 is 5571.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 134999994 + ... + 135000006.

It is an arithmetic number, because the mean of its divisors is an integer number (15502890).

Almost surely, 2^1755000000 is an apocalyptic number.

1755000000 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 1755000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472647360).

1755000000 is an abundant number, since it is smaller than the sum of its proper divisors (5190294720).

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

1755000000 is an frugal number, since it uses more digits than its factorization.

1755000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1755000000 is about 41892.7201313068. The cubic root of 1755000000 is about 1206.2177275767.

Adding to 1755000000 its reverse (5571), we get a palindrome (1755005571).

The spelling of 1755000000 in words is "one billion, seven hundred fifty-five million", and thus it is an aban number.