87745760 has 48 divisors (see below), whose sum is σ = 208864656. Its totient is φ = 34833408.

The previous prime is 87745753. The next prime is 87745769. The reversal of 87745760 is 6754778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87745769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19919 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (4351347).

Almost surely, 2^87745760 is an apocalyptic number.

87745760 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 87745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104432328).

87745760 is an abundant number, since it is smaller than the sum of its proper divisors (121118896).

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

87745760 is a wasteful number, since it uses less digits than its factorization.

87745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 87745760 is about 9367.2706804063. The cubic root of 87745760 is about 444.3672528904.

The spelling of 87745760 in words is "eighty-seven million, seven hundred forty-five thousand, seven hundred sixty".