7876640 has 48 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 2983680.

The previous prime is 7876607. The next prime is 7876643. The reversal of 7876640 is 466787.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 7876594 and 7876603.

It is not an unprimeable number, because it can be changed into a prime (7876643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^7876640 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 7876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

7876640 is an abundant number, since it is smaller than the sum of its proper divisors (11718880).

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

7876640 is a wasteful number, since it uses less digits than its factorization.

7876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 7876640 is about 2806.5352304933. The cubic root of 7876640 is about 198.9666703438.

The spelling of 7876640 in words is "seven million, eight hundred seventy-six thousand, six hundred forty".