8053760 has 132 divisors (see below), whose sum is σ = 22869084. Its totient is φ = 2703360.

The previous prime is 8053757. The next prime is 8053763. The reversal of 8053760 is 673508.

It is an interprime number because it is at equal distance from previous prime (8053757) and next prime (8053763).

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 6071296 = 1408^2 + 2464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619514 + ... + 619526.

Almost surely, 2^8053760 is an apocalyptic number.

8053760 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 8053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434542).

8053760 is an abundant number, since it is smaller than the sum of its proper divisors (14815324).

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

8053760 is a wasteful number, since it uses less digits than its factorization.

8053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 8053760 is about 2837.9147274011. The cubic root of 8053760 is about 200.4470002098.

The spelling of 8053760 in words is "eight million, fifty-three thousand, seven hundred sixty".