7884416 has 32 divisors (see below), whose sum is σ = 16222080. Its totient is φ = 3813120.

The previous prime is 7884407. The next prime is 7884431. The reversal of 7884416 is 6144887.

7884416 = T₄₇₃ + T₄₇₄ + ... + T₅₃₄.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7884416² = 124328031322112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7884416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2975 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (506940).

Almost surely, 2^7884416 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 7884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111040).

7884416 is an abundant number, since it is smaller than the sum of its proper divisors (8337664).

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

7884416 is a wasteful number, since it uses less digits than its factorization.

7884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2020 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 7884416 is about 2807.9202267871. The cubic root of 7884416 is about 199.0321236325.

The spelling of 7884416 in words is "seven million, eight hundred eighty-four thousand, four hundred sixteen".