7838080 has 64 divisors (see below), whose sum is σ = 19302480. Its totient is φ = 3041280.

The previous prime is 7838069. The next prime is 7838107. The reversal of 7838080 is 808387.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7838080² = 122870996172800, 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, 23515 + ... + 23845.

Almost surely, 2^7838080 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 7838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651240).

7838080 is an abundant number, since it is smaller than the sum of its proper divisors (11464400).

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

7838080 is a wasteful number, since it uses less digits than its factorization.

7838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7838080 is about 2799.6571218633. The cubic root of 7838080 is about 198.6414593986.

The spelling of 7838080 in words is "seven million, eight hundred thirty-eight thousand, eighty".