9782820 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2331648.

The previous prime is 9782813. The next prime is 9782821. The reversal of 9782820 is 282879.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9782821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70311 + ... + 70449.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^9782820 is an apocalyptic number.

9782820 is a gapful number since it is divisible by the number (90) 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 9782820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9782820 is an abundant number, since it is smaller than the sum of its proper divisors (23239260).

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

9782820 is a wasteful number, since it uses less digits than its factorization.

9782820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9782820 is about 3127.7499900088. The cubic root of 9782820 is about 213.8723727307.

The spelling of 9782820 in words is "nine million, seven hundred eighty-two thousand, eight hundred twenty".