87881760 has 120 divisors (see below), whose sum is σ = 310195116. Its totient is φ = 23431680.

The previous prime is 87881747. The next prime is 87881779. The reversal of 87881760 is 6718878.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 944784 = 9324^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9570 + ... + 16350.

Almost surely, 2^87881760 is an apocalyptic number.

87881760 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 87881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155097558).

87881760 is an abundant number, since it is smaller than the sum of its proper divisors (222313356).

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

87881760 is a wasteful number, since it uses less digits than its factorization.

87881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 87881760 is about 9374.5271880773. The cubic root of 87881760 is about 444.5967141217.

The spelling of 87881760 in words is "eighty-seven million, eight hundred eighty-one thousand, seven hundred sixty".