7822540 has 72 divisors (see below), whose sum is σ = 19017936. Its totient is φ = 2678400.

The previous prime is 7822537. The next prime is 7822543. The reversal of 7822540 is 452287.

7822540 = T₁₄₉ + T₁₅₀ + ... + T₃₆₈.

It is an interprime number because it is at equal distance from previous prime (7822537) and next prime (7822543).

It is a super-2 number, since 2×7822540² = 122384264103200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7822499 and 7822508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7822543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211402 + ... + 211438.

It is an arithmetic number, because the mean of its divisors is an integer number (264138).

Almost surely, 2^7822540 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 7822540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508968).

7822540 is an abundant number, since it is smaller than the sum of its proper divisors (11195396).

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

7822540 is a wasteful number, since it uses less digits than its factorization.

7822540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 7822540 is about 2796.8804050227. The cubic root of 7822540 is about 198.5100951452.

The spelling of 7822540 in words is "seven million, eight hundred twenty-two thousand, five hundred forty".