7827640 has 16 divisors (see below), whose sum is σ = 17612280. Its totient is φ = 3131040.

The previous prime is 7827637. The next prime is 7827661. The reversal of 7827640 is 467287.

It is a super-2 number, since 2×7827640² = 122543895939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7827596 and 7827605.

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 3 ways as a sum of consecutive naturals, for example, 97806 + ... + 97885.

Almost surely, 2^7827640 is an apocalyptic number.

It is an amenable number.

7827640 is an abundant number, since it is smaller than the sum of its proper divisors (9784640).

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

7827640 is a wasteful number, since it uses less digits than its factorization.

7827640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195702 (or 195698 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 7827640 is about 2797.7919865494. The cubic root of 7827640 is about 198.5532261295.

The spelling of 7827640 in words is "seven million, eight hundred twenty-seven thousand, six hundred forty".