87282800 has 120 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 31225600.

The previous prime is 87282799. The next prime is 87282803. The reversal of 87282800 is 828278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87282803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365081 + ... + 365319.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^87282800 is an apocalyptic number.

87282800 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 87282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

87282800 is an abundant number, since it is smaller than the sum of its proper divisors (145202320).

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

87282800 is a wasteful number, since it uses less digits than its factorization.

87282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 87282800 is about 9342.5264249024. The cubic root of 87282800 is about 443.5843579352.

The spelling of 87282800 in words is "eighty-seven million, two hundred eighty-two thousand, eight hundred".