87130080 has 216 divisors, whose sum is σ = 312471432. Its totient is φ = 22954752.

The previous prime is 87130037. The next prime is 87130081. The reversal of 87130080 is 8003178.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87130081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049719 + ... + 1049801.

It is an arithmetic number, because the mean of its divisors is an integer number (1446627).

Almost surely, 2^87130080 is an apocalyptic number.

87130080 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 87130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156235716).

87130080 is an abundant number, since it is smaller than the sum of its proper divisors (225341352).

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

87130080 is an frugal number, since it uses more digits than its factorization.

87130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87130080 is about 9334.3494684954. The cubic root of 87130080 is about 443.3254915353.

The spelling of 87130080 in words is "eighty-seven million, one hundred thirty thousand, eighty".