7842848 has 48 divisors (see below), whose sum is σ = 17622360. Its totient is φ = 3403776.

The previous prime is 7842833. The next prime is 7842851. The reversal of 7842848 is 8482487.

It can be written as a sum of positive squares in 4 ways, for example, as 4048144 + 3794704 = 2012^2 + 1948^2 .

It is a super-2 number, since 2×7842848² = 123020529502208, which contains 22 as substring.

It is a congruent number.

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, 6518 + ... + 7626.

Almost surely, 2^7842848 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 7842848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811180).

7842848 is an abundant number, since it is smaller than the sum of its proper divisors (9779512).

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

7842848 is a wasteful number, since it uses less digits than its factorization.

7842848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1141 counting only the distinct ones).

The product of its digits is 114688, while the sum is 41.

The square root of 7842848 is about 2800.5085252504. The cubic root of 7842848 is about 198.6817299110.

The spelling of 7842848 in words is "seven million, eight hundred forty-two thousand, eight hundred forty-eight".