802976 has 24 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 383680.

The previous prime is 802969. The next prime is 802979. The reversal of 802976 is 679208.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (802979) 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 3 ways as a sum of consecutive naturals, for example, 191 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2⁸⁰²⁹⁷⁶ 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 802976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

802976 is an abundant number, since it is smaller than the sum of its proper divisors (848128).

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

802976 is a wasteful number, since it uses less digits than its factorization.

802976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 802976 is about 896.0892812661. The cubic root of 802976 is about 92.9467456315.

The spelling of 802976 in words is "eight hundred two thousand, nine hundred seventy-six".