87279900 has 72 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 23048640.

The previous prime is 87279883. The next prime is 87279919. The reversal of 87279900 is 997278.

It is a congruent number.

It is an unprimeable number.

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, 30741 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^87279900 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 87279900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

87279900 is an abundant number, since it is smaller than the sum of its proper divisors (167703780).

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

87279900 is a wasteful number, since it uses less digits than its factorization.

87279900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 87279900 is about 9342.3712193425. The cubic root of 87279900 is about 443.5794451349.

The spelling of 87279900 in words is "eighty-seven million, two hundred seventy-nine thousand, nine hundred".