87209079300 has 432 divisors, whose sum is σ = 338073695232. Its totient is φ = 19065974400.

The previous prime is 87209079259. The next prime is 87209079301. The reversal of 87209079300 is 397090278.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87209079301) 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 143 ways as a sum of consecutive naturals, for example, 3901155 + ... + 3923445.

Almost surely, 2^87209079300 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 87209079300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169036847616).

87209079300 is an abundant number, since it is smaller than the sum of its proper divisors (250864615932).

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

87209079300 is a wasteful number, since it uses less digits than its factorization.

87209079300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 87209079300 in words is "eighty-seven billion, two hundred nine million, seventy-nine thousand, three hundred".