87809080 has 64 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 32784384.

The previous prime is 87809047. The next prime is 87809083. The reversal of 87809080 is 8090878.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87809083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94056 + ... + 94984.

Almost surely, 2^87809080 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 87809080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

87809080 is an abundant number, since it is smaller than the sum of its proper divisors (123114920).

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

87809080 is a wasteful number, since it uses less digits than its factorization.

87809080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 87809080 is about 9370.6499240981. The cubic root of 87809080 is about 444.4741168152.

The spelling of 87809080 in words is "eighty-seven million, eight hundred nine thousand, eighty".