1768125120 has 168 divisors, whose sum is σ = 5964381264. Its totient is φ = 443695104.

The previous prime is 1768125119. The next prime is 1768125131. The reversal of 1768125120 is 215218671.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274254 + ... + 280626.

Almost surely, 2^1768125120 is an apocalyptic number.

1768125120 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 1768125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982190632).

1768125120 is an abundant number, since it is smaller than the sum of its proper divisors (4196256144).

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

1768125120 is a wasteful number, since it uses less digits than its factorization.

1768125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1768125120 is about 42049.0798948086. The cubic root of 1768125120 is about 1209.2172429815.

The spelling of 1768125120 in words is "one billion, seven hundred sixty-eight million, one hundred twenty-five thousand, one hundred twenty".