7822120 has 32 divisors (see below), whose sum is σ = 17687520. Its totient is φ = 3113280.

The previous prime is 7822117. The next prime is 7822151. The reversal of 7822120 is 212287.

It is a super-2 number, since 2×7822120² = 122371122588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7822091 and 7822100.

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 7 ways as a sum of consecutive naturals, for example, 10975 + ... + 11665.

It is an arithmetic number, because the mean of its divisors is an integer number (552735).

Almost surely, 2^7822120 is an apocalyptic number.

It is an amenable number.

7822120 is an abundant number, since it is smaller than the sum of its proper divisors (9865400).

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

7822120 is a wasteful number, since it uses less digits than its factorization.

7822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 7822120 is about 2796.8053203611. The cubic root of 7822120 is about 198.5065423464.

The spelling of 7822120 in words is "seven million, eight hundred twenty-two thousand, one hundred twenty".