768268160 has 128 divisors (see below), whose sum is σ = 2037592800. Its totient is φ = 274636800.

The previous prime is 768268159. The next prime is 768268177. The reversal of 768268160 is 61862867.

768268160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428546 + ... + 430334.

Almost surely, 2^768268160 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 768268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018796400).

768268160 is an abundant number, since it is smaller than the sum of its proper divisors (1269324640).

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

768268160 is a wasteful number, since it uses less digits than its factorization.

768268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 768268160 is about 27717.6506940974. The cubic root of 768268160 is about 915.8779672547.

The spelling of 768268160 in words is "seven hundred sixty-eight million, two hundred sixty-eight thousand, one hundred sixty".