7884768 has 48 divisors (see below), whose sum is σ = 21603456. Its totient is φ = 2513280.

The previous prime is 7884739. The next prime is 7884809. The reversal of 7884768 is 8674887.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (450072).

Almost surely, 2^7884768 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 7884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801728).

7884768 is an abundant number, since it is smaller than the sum of its proper divisors (13718688).

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

7884768 is a wasteful number, since it uses less digits than its factorization.

7884768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3599 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 7884768 is about 2807.9829059309. The cubic root of 7884768 is about 199.0350855202.

The spelling of 7884768 in words is "seven million, eight hundred eighty-four thousand, seven hundred sixty-eight".