768161888 has 48 divisors (see below), whose sum is σ = 1633576896. Its totient is φ = 353464320.

The previous prime is 768161819. The next prime is 768161893. The reversal of 768161888 is 888161867.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 144233 + ... + 149463.

It is an arithmetic number, because the mean of its divisors is an integer number (34032852).

Almost surely, 2^768161888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768161888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816788448).

768161888 is an abundant number, since it is smaller than the sum of its proper divisors (865415008).

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

768161888 is a wasteful number, since it uses less digits than its factorization.

768161888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5599 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 53.

The square root of 768161888 is about 27715.7335822092. The cubic root of 768161888 is about 915.8357351815.

The spelling of 768161888 in words is "seven hundred sixty-eight million, one hundred sixty-one thousand, eight hundred eighty-eight".