7842304 has 60 divisors (see below), whose sum is σ = 16959294. Its totient is φ = 3620864.

The previous prime is 7842299. The next prime is 7842323. The reversal of 7842304 is 4032487.

It can be written as a sum of positive squares in 3 ways, for example, as 7840000 + 2304 = 2800^2 + 48^2 .

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147942 + ... + 147994.

Almost surely, 2^7842304 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 7842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479647).

7842304 is an abundant number, since it is smaller than the sum of its proper divisors (9116990).

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

7842304 is an equidigital number, since it uses as much as digits as its factorization.

7842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 7842304 is about 2800.4113983485. The cubic root of 7842304 is about 198.6771361138.

It can be divided in two parts, 784 and 2304, that multiplied together give a square (1806336 = 1344²).

The spelling of 7842304 in words is "seven million, eight hundred forty-two thousand, three hundred four".