7874160 has 160 divisors (see below), whose sum is σ = 28807680. Its totient is φ = 1741824.

The previous prime is 7874149. The next prime is 7874161. The reversal of 7874160 is 614787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7874161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72186 + ... + 72294.

It is an arithmetic number, because the mean of its divisors is an integer number (180048).

Almost surely, 2^7874160 is an apocalyptic number.

7874160 is a gapful number since it is divisible by the number (70) 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 7874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403840).

7874160 is an abundant number, since it is smaller than the sum of its proper divisors (20933520).

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

7874160 is a wasteful number, since it uses less digits than its factorization.

7874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 7874160 is about 2806.0933697937. The cubic root of 7874160 is about 198.9457862638.

The spelling of 7874160 in words is "seven million, eight hundred seventy-four thousand, one hundred sixty".