768649176 has 80 divisors (see below), whose sum is σ = 2227222800. Its totient is φ = 247375296.

The previous prime is 768649171. The next prime is 768649177. The reversal of 768649176 is 671946867.

It is a happy number.

768649176 is a `hidden beast` number, since 7 + 6 + 86 + 491 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768649171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1660 + ... + 39243.

It is an arithmetic number, because the mean of its divisors is an integer number (27840285).

Almost surely, 2^768649176 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 768649176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113611400).

768649176 is an abundant number, since it is smaller than the sum of its proper divisors (1458573624).

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

768649176 is a wasteful number, since it uses less digits than its factorization.

768649176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950 (or 40937 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 768649176 is about 27724.5230076191. The cubic root of 768649176 is about 916.0293495042.

The spelling of 768649176 in words is "seven hundred sixty-eight million, six hundred forty-nine thousand, one hundred seventy-six".