1768987920 has 160 divisors (see below), whose sum is σ = 6328737792. Its totient is φ = 400375296.

The previous prime is 1768987889. The next prime is 1768987939. The reversal of 1768987920 is 297898671.

It is a super-2 number, since 2×1768987920² = 6258636522211852800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 167929 + ... + 178151.

Almost surely, 2^1768987920 is an apocalyptic number.

1768987920 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 1768987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164368896).

1768987920 is an abundant number, since it is smaller than the sum of its proper divisors (4559749872).

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

1768987920 is a wasteful number, since it uses less digits than its factorization.

1768987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The square root of 1768987920 is about 42059.3380832366. The cubic root of 1768987920 is about 1209.4139000634.

The spelling of 1768987920 in words is "one billion, seven hundred sixty-eight million, nine hundred eighty-seven thousand, nine hundred twenty".