768159360 has 192 divisors, whose sum is σ = 2792556000. Its totient is φ = 194033664.

The previous prime is 768159349. The next prime is 768159361. The reversal of 768159360 is 63951867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (768159361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105931 + ... + 112949.

Almost surely, 2^768159360 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 768159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396278000).

768159360 is an abundant number, since it is smaller than the sum of its proper divisors (2024396640).

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

768159360 is a wasteful number, since it uses less digits than its factorization.

768159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 768159360 is about 27715.6879763068. The cubic root of 768159360 is about 915.8347305168.

The spelling of 768159360 in words is "seven hundred sixty-eight million, one hundred fifty-nine thousand, three hundred sixty".