7440768 has 64 divisors (see below), whose sum is σ = 21970800. Its totient is φ = 2479104.

The previous prime is 7440767. The next prime is 7440779. The reversal of 7440768 is 8670447.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7440767) 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, 2380 + ... + 4532.

Almost surely, 2^7440768 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 7440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985400).

7440768 is an abundant number, since it is smaller than the sum of its proper divisors (14530032).

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

7440768 is a wasteful number, since it uses less digits than its factorization.

7440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7440768 is about 2727.7771169947. Note that the first 3 decimals coincide. The cubic root of 7440768 is about 195.2267185499.

The spelling of 7440768 in words is "seven million, four hundred forty thousand, seven hundred sixty-eight".