7986816 has 64 divisors (see below), whose sum is σ = 23582400. Its totient is φ = 2661120.

The previous prime is 7986799. The next prime is 7986817. The reversal of 7986816 is 6186897.

It is a happy number.

7986816 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7986817) 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, 2301 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (368475).

Almost surely, 2^7986816 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 7986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11791200).

7986816 is an abundant number, since it is smaller than the sum of its proper divisors (15595584).

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

7986816 is a wasteful number, since it uses less digits than its factorization.

7986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2316 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 7986816 is about 2826.0955397863. The cubic root of 7986816 is about 199.8900729246.

The spelling of 7986816 in words is "seven million, nine hundred eighty-six thousand, eight hundred sixteen".