7838480 has 40 divisors (see below), whose sum is σ = 19628952. Its totient is φ = 2893824.

The previous prime is 7838477. The next prime is 7838489. The reversal of 7838480 is 848387.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 7772944 = 256^2 + 2788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×7838480² = 122883537420800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2729 + ... + 4808.

Almost surely, 2^7838480 is an apocalyptic number.

It is an amenable number.

7838480 is an abundant number, since it is smaller than the sum of its proper divisors (11790472).

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

7838480 is a wasteful number, since it uses less digits than its factorization.

7838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 7838480 is about 2799.7285582713. The cubic root of 7838480 is about 198.6448384247.

The spelling of 7838480 in words is "seven million, eight hundred thirty-eight thousand, four hundred eighty".