768116140 has 144 divisors (see below), whose sum is σ = 1889620992. Its totient is φ = 259776000.

The previous prime is 768116137. The next prime is 768116177. The reversal of 768116140 is 41611867.

It is a junction number, because it is equal to n+sod(n) for n = 768116096 and 768116105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11464387 + ... + 11464453.

It is an arithmetic number, because the mean of its divisors is an integer number (13122368).

Almost surely, 2^768116140 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 768116140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944810496).

768116140 is an abundant number, since it is smaller than the sum of its proper divisors (1121504852).

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

768116140 is a wasteful number, since it uses less digits than its factorization.

768116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 768116140 is about 27714.9082625218. The cubic root of 768116140 is about 915.8175539076.

The spelling of 768116140 in words is "seven hundred sixty-eight million, one hundred sixteen thousand, one hundred forty".