7826 has 16 divisors (see below), whose sum is σ = 14784. Its totient is φ = 3024.

The previous prime is 7823. The next prime is 7829. The reversal of 7826 is 6287.

7826 = T₂₈ + T₂₉ + ... + T₄₀.

It is an interprime number because it is at equal distance from previous prime (7823) and next prime (7829).

It is a super-2 number, since 2×7826² = 122492552, which contains 22 as substring.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7826.

It is not an unprimeable number, because it can be changed into a prime (7823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (924).

2⁷⁸²⁶ is an apocalyptic number.

7826 is a deficient number, since it is larger than the sum of its proper divisors (6958).

7826 is a wasteful number, since it uses less digits than its factorization.

7826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65.

The product of its digits is 672, while the sum is 23.

The square root of 7826 is about 88.4646822184. The cubic root of 7826 is about 19.8539358602.

The spelling of 7826 in words is "seven thousand, eight hundred twenty-six".