76976 has 20 divisors (see below), whose sum is σ = 158472. Its totient is φ = 36096.

The previous prime is 76963. The next prime is 76991. The reversal of 76976 is 67967.

It is an unprimeable number.

76976 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 3 ways as a sum of consecutive naturals, for example, 131 + ... + 413.

2⁷⁶⁹⁷⁶ 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 76976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79236).

76976 is an abundant number, since it is smaller than the sum of its proper divisors (81496).

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

76976 is a wasteful number, since it uses less digits than its factorization.

76976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 76976 is about 277.4454901418. The cubic root of 76976 is about 42.5387881182.

Subtracting from 76976 its reverse (67967), we obtain a palindrome (9009).

The spelling of 76976 in words is "seventy-six thousand, nine hundred seventy-six".