87800560 has 40 divisors (see below), whose sum is σ = 205652016. Its totient is φ = 34859520.

The previous prime is 87800549. The next prime is 87800567. The reversal of 87800560 is 6500878.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87800567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6955 + ... + 14965.

Almost surely, 2^87800560 is an apocalyptic number.

87800560 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 87800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102826008).

87800560 is an abundant number, since it is smaller than the sum of its proper divisors (117851456).

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

87800560 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (87800559) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (8155).

87800560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 87800560 is about 9370.1953021268. The cubic root of 87800560 is about 444.4597407698.

The spelling of 87800560 in words is "eighty-seven million, eight hundred thousand, five hundred sixty".