7740144 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2280960.

The previous prime is 7740143. The next prime is 7740149. The reversal of 7740144 is 4410477.

7740144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7740143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188764 + ... + 188804.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^7740144 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 7740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7740144 is an abundant number, since it is smaller than the sum of its proper divisors (17258256).

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

7740144 is a wasteful number, since it uses less digits than its factorization.

7740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7740144 is about 2782.1114283939. Note that the first 3 decimals coincide. The cubic root of 7740144 is about 197.8106546177.

The spelling of 7740144 in words is "seven million, seven hundred forty thousand, one hundred forty-four".