76647168 has 144 divisors (see below), whose sum is σ = 244380640. Its totient is φ = 23556096.

The previous prime is 76647161. The next prime is 76647173. The reversal of 76647168 is 86174667.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76647161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89430 + ... + 90282.

Almost surely, 2^76647168 is an apocalyptic number.

76647168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122190320).

76647168 is an abundant number, since it is smaller than the sum of its proper divisors (167733472).

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

76647168 is a wasteful number, since it uses less digits than its factorization.

76647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76647168 is about 8754.8368345732. The cubic root of 76647168 is about 424.7812816930.

The spelling of 76647168 in words is "seventy-six million, six hundred forty-seven thousand, one hundred sixty-eight".