1881780768 has 192 divisors, whose sum is σ = 6489504000. Its totient is φ = 519063552.

The previous prime is 1881780713. The next prime is 1881780773. The reversal of 1881780768 is 8670871881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 170028 + ... + 180756.

It is an arithmetic number, because the mean of its divisors is an integer number (33799500).

Almost surely, 2^1881780768 is an apocalyptic number.

1881780768 is a gapful number since it is divisible by the number (18) 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 1881780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244752000).

1881780768 is an abundant number, since it is smaller than the sum of its proper divisors (4607723232).

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

1881780768 is a wasteful number, since it uses less digits than its factorization.

1881780768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The square root of 1881780768 is about 43379.4970925206. The cubic root of 1881780768 is about 1234.5907210295.

The spelling of 1881780768 in words is "one billion, eight hundred eighty-one million, seven hundred eighty thousand, seven hundred sixty-eight".