7872768 has 144 divisors (see below), whose sum is σ = 25018560. Its totient is φ = 2433024.

The previous prime is 7872763. The next prime is 7872793. The reversal of 7872768 is 8672787.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7872763) 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, 117471 + ... + 117537.

It is an arithmetic number, because the mean of its divisors is an integer number (173740).

Almost surely, 2^7872768 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 7872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509280).

7872768 is an abundant number, since it is smaller than the sum of its proper divisors (17145792).

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

7872768 is a wasteful number, since it uses less digits than its factorization.

7872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 7872768 is about 2805.8453271697. The cubic root of 7872768 is about 198.9340623104.

The spelling of 7872768 in words is "seven million, eight hundred seventy-two thousand, seven hundred sixty-eight".