802530 has 48 divisors (see below), whose sum is σ = 2151864. Its totient is φ = 207360.

The previous prime is 802523. The next prime is 802531. The reversal of 802530 is 35208.

It can be written as a sum of positive squares in 4 ways, for example, as 793881 + 8649 = 891^2 + 93^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (802531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210 + ... + 3450.

2⁸⁰²⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075932).

802530 is an abundant number, since it is smaller than the sum of its proper divisors (1349334).

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

802530 is a wasteful number, since it uses less digits than its factorization.

802530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 802530 is about 895.8403875691. The cubic root of 802530 is about 92.9295338568.

Adding to 802530 its reverse (35208), we get a palindrome (837738).

The spelling of 802530 in words is "eight hundred two thousand, five hundred thirty".