87082800 has 180 divisors, whose sum is σ = 324718056. Its totient is φ = 19891200.

The previous prime is 87082771. The next prime is 87082819. The reversal of 87082800 is 828078.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58060 + ... + 59540.

Almost surely, 2^87082800 is an apocalyptic number.

87082800 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 87082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162359028).

87082800 is an abundant number, since it is smaller than the sum of its proper divisors (237635256).

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

87082800 is a wasteful number, since it uses less digits than its factorization.

87082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 87082800 is about 9331.8165434175. The cubic root of 87082800 is about 443.2452887639.

The spelling of 87082800 in words is "eighty-seven million, eighty-two thousand, eight hundred".