7822984 has 64 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 3297024.

The previous prime is 7822981. The next prime is 7823017. The reversal of 7822984 is 4892287.

It is a super-2 number, since 2×7822984² = 122398157328512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7822981) 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 15 ways as a sum of consecutive naturals, for example, 73059 + ... + 73165.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^7822984 is an apocalyptic number.

7822984 is a gapful number since it is divisible by the number (74) 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 7822984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

7822984 is an abundant number, since it is smaller than the sum of its proper divisors (9413816).

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

7822984 is a wasteful number, since it uses less digits than its factorization.

7822984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 7822984 is about 2796.9597780447. The cubic root of 7822984 is about 198.5138508228.

The spelling of 7822984 in words is "seven million, eight hundred twenty-two thousand, nine hundred eighty-four".