7822656 has 84 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 2602368.

The previous prime is 7822627. The next prime is 7822657. The reversal of 7822656 is 6562287.

It is a super-2 number, since 2×7822656² = 122387893788672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7822656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7822657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15301 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 2^7822656 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 7822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

7822656 is an abundant number, since it is smaller than the sum of its proper divisors (15476256).

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

7822656 is an equidigital number, since it uses as much as digits as its factorization.

7822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 7822656 is about 2796.9011423359. The cubic root of 7822656 is about 198.5110763720.

The spelling of 7822656 in words is "seven million, eight hundred twenty-two thousand, six hundred fifty-six".