7890820 has 48 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 2680704.

The previous prime is 7890811. The next prime is 7890847. The reversal of 7890820 is 280987.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21801 + ... + 22159.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 2^7890820 is an apocalyptic number.

7890820 is a gapful number since it is divisible by the number (70) 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 7890820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

7890820 is an abundant number, since it is smaller than the sum of its proper divisors (11220860).

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

7890820 is a wasteful number, since it uses less digits than its factorization.

7890820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 7890820 is about 2809.0603411105. The cubic root of 7890820 is about 199.0859960132.

The spelling of 7890820 in words is "seven million, eight hundred ninety thousand, eight hundred twenty".