76968 has 24 divisors (see below), whose sum is σ = 208650. Its totient is φ = 25632.
The previous prime is 76963. The next prime is 76991. The reversal of 76968 is 86967.
It can be written as a sum of positive squares in only one way, i.e., 66564 + 10404 = 258^2 + 102^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (76961) by changing a digit.
76968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463 + ... + 606.
276968 is an apocalyptic number.
It is an amenable number.
76968 is an abundant number, since it is smaller than the sum of its proper divisors (131682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76968 is a wasteful number, since it uses less digits than its factorization.
76968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 76968 is about 277.4310725207. The cubic root of 76968 is about 42.5373144031.
Subtracting 76968 from its reverse (86967), we obtain a palindrome (9999).
The spelling of 76968 in words is "seventy-six thousand, nine hundred sixty-eight".
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