7887920 has 40 divisors (see below), whose sum is σ = 18774096. Its totient is φ = 3080448.

The previous prime is 7887889. The next prime is 7887923. The reversal of 7887920 is 297887.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (7887923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2294 + ... + 4586.

Almost surely, 2^7887920 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 7887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387048).

7887920 is an abundant number, since it is smaller than the sum of its proper divisors (10886176).

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

7887920 is a wasteful number, since it uses less digits than its factorization.

7887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 7887920 is about 2808.5441068283. The cubic root of 7887920 is about 199.0616039504.

The spelling of 7887920 in words is "seven million, eight hundred eighty-seven thousand, nine hundred twenty".