87081280 has 168 divisors, whose sum is σ = 246878856. Its totient is φ = 29061120.

The previous prime is 87081257. The next prime is 87081311. The reversal of 87081280 is 8218078.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 75898944 = 3344^2 + 8712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503274 + ... + 503446.

It is an arithmetic number, because the mean of its divisors is an integer number (1469517).

Almost surely, 2^87081280 is an apocalyptic number.

87081280 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 87081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439428).

87081280 is an abundant number, since it is smaller than the sum of its proper divisors (159797576).

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

87081280 is a wasteful number, since it uses less digits than its factorization.

87081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 87081280 is about 9331.7351012553. The cubic root of 87081280 is about 443.2427098514.

The spelling of 87081280 in words is "eighty-seven million, eighty-one thousand, two hundred eighty".