7687840 has 24 divisors (see below), whose sum is σ = 18162900. Its totient is φ = 3075072.

The previous prime is 7687831. The next prime is 7687847. The reversal of 7687840 is 487867.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 781456 = 2628^2 + 884^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7687793 and 7687802.

It is not an unprimeable number, because it can be changed into a prime (7687847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23865 + ... + 24184.

Almost surely, 2^7687840 is an apocalyptic number.

It is an amenable number.

7687840 is an abundant number, since it is smaller than the sum of its proper divisors (10475060).

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

7687840 is a wasteful number, since it uses less digits than its factorization.

7687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48064 (or 48056 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 7687840 is about 2772.6954394596. The cubic root of 7687840 is about 197.3640788877.

The spelling of 7687840 in words is "seven million, six hundred eighty-seven thousand, eight hundred forty".