87755580 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 19430400.

The previous prime is 87755579. The next prime is 87755587. The reversal of 87755580 is 8555778.

It is a happy number.

It is a super-3 number, since 3×87755580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87755587) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867117 + ... + 1867163.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^87755580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87755580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

87755580 is an abundant number, since it is smaller than the sum of its proper divisors (229256388).

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

87755580 is a wasteful number, since it uses less digits than its factorization.

87755580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 87755580 is about 9367.7948312290. The cubic root of 87755580 is about 444.3838292797.

The spelling of 87755580 in words is "eighty-seven million, seven hundred fifty-five thousand, five hundred eighty".