87805132800 has 960 divisors, whose sum is σ = 374467104000. Its totient is φ = 17616076800.

The previous prime is 87805132769. The next prime is 87805132823. The reversal of 87805132800 is 823150878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3027763186 + ... + 3027763214.

It is an arithmetic number, because the mean of its divisors is an integer number (390069900).

Almost surely, 2^87805132800 is an apocalyptic number.

87805132800 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 87805132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187233552000).

87805132800 is an abundant number, since it is smaller than the sum of its proper divisors (286661971200).

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

87805132800 is an equidigital number, since it uses as much as digits as its factorization.

87805132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 87805132800 in words is "eighty-seven billion, eight hundred five million, one hundred thirty-two thousand, eight hundred".