7822640 has 80 divisors (see below), whose sum is σ = 21218880. Its totient is φ = 2626560.

The previous prime is 7822627. The next prime is 7822657. The reversal of 7822640 is 462287.

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

It is a super-2 number, since 2×7822640² = 122387393139200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 34046 + ... + 34274.

It is an arithmetic number, because the mean of its divisors is an integer number (265236).

Almost surely, 2^7822640 is an apocalyptic number.

7822640 is a gapful number since it is divisible by the number (70) 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 7822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609440).

7822640 is an abundant number, since it is smaller than the sum of its proper divisors (13396240).

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

7822640 is a wasteful number, since it uses less digits than its factorization.

7822640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 7822640 is about 2796.8982820260. The cubic root of 7822640 is about 198.5109410310.

The spelling of 7822640 in words is "seven million, eight hundred twenty-two thousand, six hundred forty".