87567340800 has 432 divisors, whose sum is σ = 298213288128. Its totient is φ = 22614835200.

The previous prime is 87567340793. The next prime is 87567340811. The reversal of 87567340800 is 804376578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87567340800.

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, 136185279 + ... + 136185921.

Almost surely, 2^87567340800 is an apocalyptic number.

87567340800 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 87567340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149106644064).

87567340800 is an abundant number, since it is smaller than the sum of its proper divisors (210645947328).

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

87567340800 is a wasteful number, since it uses less digits than its factorization.

87567340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 87567340800 in words is "eighty-seven billion, five hundred sixty-seven million, three hundred forty thousand, eight hundred".