7382820 has 48 divisors (see below), whose sum is σ = 21389760. Its totient is φ = 1900416.

The previous prime is 7382819. The next prime is 7382821. The reversal of 7382820 is 282837.

It is an interprime number because it is at equal distance from previous prime (7382819) and next prime (7382821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7382821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 3861.

It is an arithmetic number, because the mean of its divisors is an integer number (445620).

Almost surely, 2^7382820 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 7382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694880).

7382820 is an abundant number, since it is smaller than the sum of its proper divisors (14006940).

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

7382820 is a wasteful number, since it uses less digits than its factorization.

7382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7382820 is about 2717.1345200413. The cubic root of 7382820 is about 194.7185947558.

The spelling of 7382820 in words is "seven million, three hundred eighty-two thousand, eight hundred twenty".