8157760 has 112 divisors (see below), whose sum is σ = 21890736. Its totient is φ = 2875392.

The previous prime is 8157757. The next prime is 8157767. The reversal of 8157760 is 677518.

It can be written as a sum of positive squares in 8 ways, for example, as 46656 + 8111104 = 216^2 + 2848^2 .

It is not an unprimeable number, because it can be changed into a prime (8157767) 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, 153894 + ... + 153946.

It is an arithmetic number, because the mean of its divisors is an integer number (195453).

Almost surely, 2^8157760 is an apocalyptic number.

8157760 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 8157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945368).

8157760 is an abundant number, since it is smaller than the sum of its proper divisors (13732976).

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

8157760 is a wasteful number, since it uses less digits than its factorization.

8157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 8157760 is about 2856.1792660826. The cubic root of 8157760 is about 201.3061183726.

The spelling of 8157760 in words is "eight million, one hundred fifty-seven thousand, seven hundred sixty".