7821936 has 30 divisors (see below), whose sum is σ = 21890960. Its totient is φ = 2607264.

The previous prime is 7821917. The next prime is 7821937. The reversal of 7821936 is 6391287.

It is a super-2 number, since 2×7821936² = 122365365576192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7821936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7821937) 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 5 ways as a sum of consecutive naturals, for example, 27016 + ... + 27303.

Almost surely, 2^7821936 is an apocalyptic number.

It is an amenable number.

7821936 is an abundant number, since it is smaller than the sum of its proper divisors (14069024).

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

7821936 is a wasteful number, since it uses less digits than its factorization.

7821936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54333 (or 54324 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7821936 is about 2796.7724254934. The cubic root of 7821936 is about 198.5049858422.

The spelling of 7821936 in words is "seven million, eight hundred twenty-one thousand, nine hundred thirty-six".