7687116 has 48 divisors (see below), whose sum is σ = 20143200. Its totient is φ = 2534976.

The previous prime is 7687103. The next prime is 7687123. The reversal of 7687116 is 6117867.

7687116 = T₁₄₉ + T₁₅₀ + ... + T₃₆₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 11446 + ... + 12098.

It is an arithmetic number, because the mean of its divisors is an integer number (419650).

Almost surely, 2^7687116 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 7687116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071600).

7687116 is an abundant number, since it is smaller than the sum of its proper divisors (12456084).

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

7687116 is a wasteful number, since it uses less digits than its factorization.

7687116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7687116 is about 2772.5648775096. The cubic root of 7687116 is about 197.3578831258.

7687116 divided by its sum of digits (36) gives a triangular number (213531 = T₆₅₃).

The spelling of 7687116 in words is "seven million, six hundred eighty-seven thousand, one hundred sixteen".