7836 has 12 divisors (see below), whose sum is σ = 18312. Its totient is φ = 2608.

The previous prime is 7829. The next prime is 7841. The reversal of 7836 is 6387.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×7836² = 122805792, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7² + 3 + 8 + 6⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (1526).

2⁷⁸³⁶ is an apocalyptic number.

It is an amenable number.

7836 is an abundant number, since it is smaller than the sum of its proper divisors (10476).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156).

7836 is a wasteful number, since it uses less digits than its factorization.

7836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 658 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 7836 is about 88.5211839053. The cubic root of 7836 is about 19.8623886609.

The spelling of 7836 in words is "seven thousand, eight hundred thirty-six".