768125160 has 512 divisors, whose sum is σ = 3048192000. Its totient is φ = 170035200.

The previous prime is 768125159. The next prime is 768125177. The reversal of 768125160 is 61521867.

It is a super-2 number, since 2×768125160² = 1180032522850051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9254479 + ... + 9254561.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^768125160 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 768125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

768125160 is an abundant number, since it is smaller than the sum of its proper divisors (2280066840).

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

768125160 is a wasteful number, since it uses less digits than its factorization.

768125160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 768125160 is about 27715.0709903475. The cubic root of 768125160 is about 915.8211387136.

The spelling of 768125160 in words is "seven hundred sixty-eight million, one hundred twenty-five thousand, one hundred sixty".