7844480 has 128 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 2506752.

The previous prime is 7844467. The next prime is 7844521. The reversal of 7844480 is 844487.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7844480.

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 15 ways as a sum of consecutive naturals, for example, 76109 + ... + 76211.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^7844480 is an apocalyptic number.

7844480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

7844480 is an abundant number, since it is smaller than the sum of its proper divisors (15068800).

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

7844480 is a wasteful number, since it uses less digits than its factorization.

7844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

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

The square root of 7844480 is about 2800.7998857469. The cubic root of 7844480 is about 198.6955100283.

The spelling of 7844480 in words is "seven million, eight hundred forty-four thousand, four hundred eighty".