7854 has 32 divisors (see below), whose sum is σ = 20736. Its totient is φ = 1920.

The previous prime is 7853. The next prime is 7867. The reversal of 7854 is 4587.

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

Its product of digits (1120) is a multiple of the sum of its prime divisors (40).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2⁷⁸⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368).

7854 is an abundant number, since it is smaller than the sum of its proper divisors (12882).

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

7854 is a wasteful number, since it uses less digits than its factorization.

7854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40.

The product of its digits is 1120, while the sum is 24.

The square root of 7854 is about 88.6227961644. The cubic root of 7854 is about 19.8775855977.

It can be divided in two parts, 7 and 854, that added together give a triangular number (861 = T₄₁).

The spelling of 7854 in words is "seven thousand, eight hundred fifty-four".