87407812800 has 1680 divisors, whose sum is σ = 422565454080. Its totient is φ = 17169408000.

The previous prime is 87407812787. The next prime is 87407812823. The reversal of 87407812800 is 821870478.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189604570 + ... + 189605030.

It is an arithmetic number, because the mean of its divisors is an integer number (251527056).

Almost surely, 2^87407812800 is an apocalyptic number.

87407812800 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 87407812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211282727040).

87407812800 is an abundant number, since it is smaller than the sum of its proper divisors (335157641280).

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

87407812800 is a wasteful number, since it uses less digits than its factorization.

87407812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 87407812800 in words is "eighty-seven billion, four hundred seven million, eight hundred twelve thousand, eight hundred".