7838240 has 24 divisors (see below), whose sum is σ = 18518220. Its totient is φ = 3135232.

The previous prime is 7838221. The next prime is 7838261. The reversal of 7838240 is 428387.

It can be written as a sum of positive squares in 2 ways, for example, as 6330256 + 1507984 = 2516^2 + 1228^2 .

It is a super-2 number, since 2×7838240² = 122876012595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7838197 and 7838206.

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 3 ways as a sum of consecutive naturals, for example, 24335 + ... + 24654.

Almost surely, 2^7838240 is an apocalyptic number.

It is an amenable number.

7838240 is an abundant number, since it is smaller than the sum of its proper divisors (10679980).

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

7838240 is a wasteful number, since it uses less digits than its factorization.

7838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49004 (or 48996 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7838240 is about 2799.6856966453. The cubic root of 7838240 is about 198.6428110228.

The spelling of 7838240 in words is "seven million, eight hundred thirty-eight thousand, two hundred forty".