802824 has 32 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 243200.

The previous prime is 802811. The next prime is 802829. The reversal of 802824 is 428208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 0 + 8⁶ + 2¹⁸ + 2¹⁸ + 4⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 802794 and 802803.

It is not an unprimeable number, because it can be changed into a prime (802829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

2⁸⁰²⁸²⁴ is an apocalyptic number.

It is an amenable number.

802824 is an abundant number, since it is smaller than the sum of its proper divisors (1387416).

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

802824 is a wasteful number, since it uses less digits than its factorization.

802824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 802824 is about 896.0044642746. The cubic root of 802824 is about 92.9408804512.

The spelling of 802824 in words is "eight hundred two thousand, eight hundred twenty-four".