87508080 has 320 divisors, whose sum is σ = 342835200. Its totient is φ = 20321280.

The previous prime is 87508073. The next prime is 87508081. The reversal of 87508080 is 8080578.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87508081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688977 + ... + 689103.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^87508080 is an apocalyptic number.

87508080 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 87508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

87508080 is an abundant number, since it is smaller than the sum of its proper divisors (255327120).

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

87508080 is a wasteful number, since it uses less digits than its factorization.

87508080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 87508080 is about 9354.5753511317. The cubic root of 87508080 is about 443.9656657161.

The spelling of 87508080 in words is "eighty-seven million, five hundred eight thousand, eighty".