768980160 has 672 divisors, whose sum is σ = 3195279360. Its totient is φ = 167878656.

The previous prime is 768980131. The next prime is 768980167. The reversal of 768980160 is 61089867.

It is a happy number.

768980160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768980167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16361257 + ... + 16361303.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^768980160 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 768980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

768980160 is an abundant number, since it is smaller than the sum of its proper divisors (2426299200).

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

768980160 is a wasteful number, since it uses less digits than its factorization.

768980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 768980160 is about 27730.4915210676. The cubic root of 768980160 is about 916.1608128383.

The spelling of 768980160 in words is "seven hundred sixty-eight million, nine hundred eighty thousand, one hundred sixty".