7822320 has 80 divisors (see below), whose sum is σ = 26462592. Its totient is φ = 1895680.

The previous prime is 7822291. The next prime is 7822327. The reversal of 7822320 is 232287.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7822320² = 122377380364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7822327) 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, 1159 + ... + 4121.

Almost surely, 2^7822320 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 7822320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

7822320 is an abundant number, since it is smaller than the sum of its proper divisors (18640272).

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

7822320 is a wasteful number, since it uses less digits than its factorization.

7822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7822320 is about 2796.8410752132. The cubic root of 7822320 is about 198.5082341713.

The spelling of 7822320 in words is "seven million, eight hundred twenty-two thousand, three hundred twenty".