7444880 has 40 divisors (see below), whose sum is σ = 17911800. Its totient is φ = 2874368.

The previous prime is 7444873. The next prime is 7444883. The reversal of 7444880 is 884447.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 6492304 = 976^2 + 2548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 7444880.

It is not an unprimeable number, because it can be changed into a prime (7444883) 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, 716 + ... + 3924.

It is an arithmetic number, because the mean of its divisors is an integer number (447795).

Almost surely, 2^7444880 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 7444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955900).

7444880 is an abundant number, since it is smaller than the sum of its proper divisors (10466920).

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

7444880 is a wasteful number, since it uses less digits than its factorization.

7444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 7444880 is about 2728.5307401604. The cubic root of 7444880 is about 195.2626747144.

The spelling of 7444880 in words is "seven million, four hundred forty-four thousand, eight hundred eighty".