7867940 has 48 divisors (see below), whose sum is σ = 17790192. Its totient is φ = 2912256.

The previous prime is 7867931. The next prime is 7867967. The reversal of 7867940 is 497687.

It can be written as a sum of positive squares in 8 ways, for example, as 206116 + 7661824 = 454^2 + 2768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24662 + ... + 24978.

It is an arithmetic number, because the mean of its divisors is an integer number (370629).

Almost surely, 2^7867940 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 7867940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895096).

7867940 is an abundant number, since it is smaller than the sum of its proper divisors (9922252).

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

7867940 is a wasteful number, since it uses less digits than its factorization.

7867940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 7867940 is about 2804.9848484439. The cubic root of 7867940 is about 198.8933883461.

The spelling of 7867940 in words is "seven million, eight hundred sixty-seven thousand, nine hundred forty".