8151760 has 80 divisors (see below), whose sum is σ = 20712960. Its totient is φ = 2972160.

The previous prime is 8151751. The next prime is 8151763. The reversal of 8151760 is 671518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8151763) 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 15 ways as a sum of consecutive naturals, for example, 47034 + ... + 47206.

It is an arithmetic number, because the mean of its divisors is an integer number (258912).

Almost surely, 2^8151760 is an apocalyptic number.

8151760 is a gapful number since it is divisible by the number (80) 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 8151760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356480).

8151760 is an abundant number, since it is smaller than the sum of its proper divisors (12561200).

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

8151760 is a wasteful number, since it uses less digits than its factorization.

8151760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 8151760 is about 2855.1287186395. The cubic root of 8151760 is about 201.2567529851.

It can be divided in two parts, 8151 and 760, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 8151760 in words is "eight million, one hundred fifty-one thousand, seven hundred sixty".