7838116 has 48 divisors (see below), whose sum is σ = 16426368. Its totient is φ = 3225600.

The previous prime is 7838113. The next prime is 7838119. The reversal of 7838116 is 6118387.

7838116 = T₁₈₃ + T₁₈₄ + ... + T₃₇₅.

It is an interprime number because it is at equal distance from previous prime (7838113) and next prime (7838119).

It is a super-2 number, since 2×7838116² = 122872124858912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40516 + ... + 40708.

It is an arithmetic number, because the mean of its divisors is an integer number (342216).

Almost surely, 2^7838116 is an apocalyptic number.

It is an amenable number.

7838116 is an abundant number, since it is smaller than the sum of its proper divisors (8588252).

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

7838116 is a wasteful number, since it uses less digits than its factorization.

7838116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 7838116 is about 2799.6635512147. The cubic root of 7838116 is about 198.6417635156.

The spelling of 7838116 in words is "seven million, eight hundred thirty-eight thousand, one hundred sixteen".