7822944 has 72 divisors (see below), whose sum is σ = 23233392. Its totient is φ = 2492160.

The previous prime is 7822933. The next prime is 7822951. The reversal of 7822944 is 4492287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7822944² = 122396905654272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7822899 and 7822908.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6034 + ... + 7214.

It is an arithmetic number, because the mean of its divisors is an integer number (322686).

Almost surely, 2^7822944 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 7822944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616696).

7822944 is an abundant number, since it is smaller than the sum of its proper divisors (15410448).

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

7822944 is a wasteful number, since it uses less digits than its factorization.

7822944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7822944 is about 2796.9526274143. The cubic root of 7822944 is about 198.5135124793.

The spelling of 7822944 in words is "seven million, eight hundred twenty-two thousand, nine hundred forty-four".