7851168 has 120 divisors (see below), whose sum is σ = 24972948. Its totient is φ = 2405376.

The previous prime is 7851157. The next prime is 7851191. The reversal of 7851168 is 8611587.

7851168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 944784 = 2628^2 + 972^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33580 + ... + 33812.

Almost surely, 2^7851168 is an apocalyptic number.

7851168 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 7851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486474).

7851168 is an abundant number, since it is smaller than the sum of its proper divisors (17121780).

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

7851168 is a wasteful number, since it uses less digits than its factorization.

7851168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 7851168 is about 2801.9935760098. The cubic root of 7851168 is about 198.7519615328.

Adding to 7851168 its sum of digits (36), we get a square (7851204 = 2802²).

It can be divided in two parts, 785 and 1168, that added together give a triangular number (1953 = T₆₂).

The spelling of 7851168 in words is "seven million, eight hundred fifty-one thousand, one hundred sixty-eight".