8001760 has 48 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 2953728.

The previous prime is 8001739. The next prime is 8001779. The reversal of 8001760 is 671008.

8001760 is a modest number, since divided by 1760 gives 800 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 2^8001760 is an apocalyptic number.

8001760 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 8001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

8001760 is an abundant number, since it is smaller than the sum of its proper divisors (12361856).

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

8001760 is a wasteful number, since it uses less digits than its factorization.

8001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 8001760 is about 2828.7382346198. The cubic root of 8001760 is about 200.0146655912.

Adding to 8001760 its reverse (671008), we get a palindrome (8672768).

The spelling of 8001760 in words is "eight million, one thousand, seven hundred sixty".