806976 has 56 divisors (see below), whose sum is σ = 2377440. Its totient is φ = 268416.

The previous prime is 806951. The next prime is 806977. The reversal of 806976 is 679608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 806976.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806976.

It is not an unprimeable number, because it can be changed into a prime (806977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 1961.

2⁸⁰⁶⁹⁷⁶ 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 806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188720).

806976 is an abundant number, since it is smaller than the sum of its proper divisors (1570464).

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

806976 is a wasteful number, since it uses less digits than its factorization.

806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 806976 is about 898.3184290662. The cubic root of 806976 is about 93.1008271718.

It can be divided in two parts, 80 and 6976, that added together give a square (7056 = 84²).

The spelling of 806976 in words is "eight hundred six thousand, nine hundred seventy-six".