80976 has 40 divisors (see below), whose sum is σ = 240064. Its totient is φ = 23040.

The previous prime is 80963. The next prime is 80989. The reversal of 80976 is 67908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80963) and next prime (80989).

It is a super-2 number, since 2×80976² = 13114225152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

80976 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 7 ways as a sum of consecutive naturals, for example, 216 + ... + 456.

2⁸⁰⁹⁷⁶ 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 80976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120032).

80976 is an abundant number, since it is smaller than the sum of its proper divisors (159088).

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

80976 is a wasteful number, since it uses less digits than its factorization.

80976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 80976 is about 284.5628225893. The cubic root of 80976 is about 43.2632133550.

The spelling of 80976 in words is "eighty thousand, nine hundred seventy-six".