87279300 has 108 divisors (see below), whose sum is σ = 281073156. Its totient is φ = 22636800.

The previous prime is 87279277. The next prime is 87279307. The reversal of 87279300 is 397278.

87279300 is a `hidden beast` number, since 87 + 279 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5846724 + 81432576 = 2418^2 + 9024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (87279307) 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 35 ways as a sum of consecutive naturals, for example, 31990 + ... + 34610.

Almost surely, 2^87279300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87279300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140536578).

87279300 is an abundant number, since it is smaller than the sum of its proper divisors (193793856).

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

87279300 is a wasteful number, since it uses less digits than its factorization.

87279300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 87279300 is about 9342.3391075255. The cubic root of 87279300 is about 443.5784286799.

The spelling of 87279300 in words is "eighty-seven million, two hundred seventy-nine thousand, three hundred".