7866920 has 64 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 2827264.

The previous prime is 7866889. The next prime is 7866923. The reversal of 7866920 is 296687.

It is not an unprimeable number, because it can be changed into a prime (7866923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15389 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^7866920 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 7866920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

7866920 is an abundant number, since it is smaller than the sum of its proper divisors (11728600).

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

7866920 is a wasteful number, since it uses less digits than its factorization.

7866920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 7866920 is about 2804.8030233868. The cubic root of 7866920 is about 198.8847931262.

The spelling of 7866920 in words is "seven million, eight hundred sixty-six thousand, nine hundred twenty".