76171968 has 112 divisors (see below), whose sum is σ = 237195360. Its totient is φ = 23887872.

The previous prime is 76171961. The next prime is 76171987. The reversal of 76171968 is 86917167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76171961) 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, 28080 + ... + 30672.

Almost surely, 2^76171968 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 76171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118597680).

76171968 is an abundant number, since it is smaller than the sum of its proper divisors (161023392).

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

76171968 is a wasteful number, since it uses less digits than its factorization.

76171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2615 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 76171968 is about 8727.6553552486. The cubic root of 76171968 is about 423.9016028937.

The spelling of 76171968 in words is "seventy-six million, one hundred seventy-one thousand, nine hundred sixty-eight".