87727240800 has 432 divisors, whose sum is σ = 333593179920. Its totient is φ = 21620736000.

The previous prime is 87727240723. The next prime is 87727240823. The reversal of 87727240800 is 804272778.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5600980 + ... + 5616620.

It is an arithmetic number, because the mean of its divisors is an integer number (772206435).

Almost surely, 2^87727240800 is an apocalyptic number.

87727240800 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 87727240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166796589960).

87727240800 is an abundant number, since it is smaller than the sum of its proper divisors (245865939120).

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

87727240800 is a wasteful number, since it uses less digits than its factorization.

87727240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 87727240800 in words is "eighty-seven billion, seven hundred twenty-seven million, two hundred forty thousand, eight hundred".