802048 has 36 divisors (see below), whose sum is σ = 1731268. Its totient is φ = 368640.

The previous prime is 802037. The next prime is 802073. The reversal of 802048 is 840208.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 451584 = 592^2 + 672^2 .

It is a congruent number.

It is an unprimeable number.

802048 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, 3208 + ... + 3448.

2⁸⁰²⁰⁴⁸ 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 802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865634).

802048 is an abundant number, since it is smaller than the sum of its proper divisors (929220).

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

802048 is a wasteful number, since it uses less digits than its factorization.

802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 802048 is about 895.5713260260. The cubic root of 802048 is about 92.9109256196.

The spelling of 802048 in words is "eight hundred two thousand, forty-eight".