7988820 has 96 divisors (see below), whose sum is σ = 26707968. Its totient is φ = 1744512.

The previous prime is 7988819. The next prime is 7988821. The reversal of 7988820 is 288897.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7988819) and next prime (7988821).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9247 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (278208).

Almost surely, 2^7988820 is an apocalyptic number.

7988820 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 7988820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984).

7988820 is an abundant number, since it is smaller than the sum of its proper divisors (18719148).

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

7988820 is a wasteful number, since it uses less digits than its factorization.

7988820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 7988820 is about 2826.4500703179. The cubic root of 7988820 is about 199.9067898995.

The spelling of 7988820 in words is "seven million, nine hundred eighty-eight thousand, eight hundred twenty".