1768160880 has 160 divisors (see below), whose sum is σ = 6355307520. Its totient is φ = 450996480.

The previous prime is 1768160873. The next prime is 1768160897. The reversal of 1768160880 is 880618671.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31885 + ... + 67475.

It is an arithmetic number, because the mean of its divisors is an integer number (39720672).

Almost surely, 2^1768160880 is an apocalyptic number.

1768160880 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 1768160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177653760).

1768160880 is an abundant number, since it is smaller than the sum of its proper divisors (4587146640).

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

1768160880 is a wasteful number, since it uses less digits than its factorization.

1768160880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35636 (or 35624 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1768160880 is about 42049.5051100486. The cubic root of 1768160880 is about 1209.2253949908.

The spelling of 1768160880 in words is "one billion, seven hundred sixty-eight million, one hundred sixty thousand, eight hundred eighty".