7812168 has 128 divisors (see below), whose sum is σ = 24864000. Its totient is φ = 2032128.

The previous prime is 7812137. The next prime is 7812169. The reversal of 7812168 is 8612187.

It is a happy number.

It is a super-2 number, since 2×7812168² = 122059937720448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7812169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106980 + ... + 107052.

It is an arithmetic number, because the mean of its divisors is an integer number (194250).

Almost surely, 2^7812168 is an apocalyptic number.

7812168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7812168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432000).

7812168 is an abundant number, since it is smaller than the sum of its proper divisors (17051832).

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

7812168 is a wasteful number, since it uses less digits than its factorization.

7812168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 7812168 is about 2795.0255812783. The cubic root of 7812168 is about 198.4223206981.

It can be divided in two parts, 78 and 12168, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 7812168 in words is "seven million, eight hundred twelve thousand, one hundred sixty-eight".