7985440 has 48 divisors (see below), whose sum is σ = 19527480. Its totient is φ = 3082240.

The previous prime is 7985437. The next prime is 7985489. The reversal of 7985440 is 445897.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 824464 = 2676^2 + 908^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7985440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3780 + ... + 5500.

Almost surely, 2^7985440 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 7985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763740).

7985440 is an abundant number, since it is smaller than the sum of its proper divisors (11542040).

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

7985440 is a wasteful number, since it uses less digits than its factorization.

7985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7985440 is about 2825.8520838855. The cubic root of 7985440 is about 199.8785929833.

The spelling of 7985440 in words is "seven million, nine hundred eighty-five thousand, four hundred forty".