1788949120 has 128 divisors (see below), whose sum is σ = 4914898560. Its totient is φ = 609939456.

The previous prime is 1788949061. The next prime is 1788949133. The reversal of 1788949120 is 219498871.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881547 + ... + 883573.

It is an arithmetic number, because the mean of its divisors is an integer number (38397645).

Almost surely, 2^1788949120 is an apocalyptic number.

1788949120 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 1788949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457449280).

1788949120 is an abundant number, since it is smaller than the sum of its proper divisors (3125949440).

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

1788949120 is a wasteful number, since it uses less digits than its factorization.

1788949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The square root of 1788949120 is about 42295.9704936534. The cubic root of 1788949120 is about 1213.9458915023.

The spelling of 1788949120 in words is "one billion, seven hundred eighty-eight million, nine hundred forty-nine thousand, one hundred twenty".