302820 has 72 divisors (see below), whose sum is σ = 995904. Its totient is φ = 68544.

The previous prime is 302801. The next prime is 302831. The reversal of 302820 is 28203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 302820.

It is an unprimeable number.

302820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2³⁰²⁸²⁰ is an apocalyptic number.

302820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

302820 is an abundant number, since it is smaller than the sum of its proper divisors (693084).

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

302820 is a wasteful number, since it uses less digits than its factorization.

302820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 302820 is about 550.2908321969. The cubic root of 302820 is about 67.1523968424.

It can be divided in two parts, 30 and 2820, that added together give a triangular number (2850 = T₇₅).

The spelling of 302820 in words is "three hundred two thousand, eight hundred twenty".