87830814720 has 448 divisors, whose sum is σ = 309143278080. Its totient is φ = 21115699200.

The previous prime is 87830814677. The next prime is 87830814767. The reversal of 87830814720 is 2741803878.

It is a happy number.

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 87830814720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244653901 + ... + 244654259.

It is an arithmetic number, because the mean of its divisors is an integer number (690051960).

Almost surely, 2^87830814720 is an apocalyptic number.

87830814720 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 87830814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154571639040).

87830814720 is an abundant number, since it is smaller than the sum of its proper divisors (221312463360).

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

87830814720 is a wasteful number, since it uses less digits than its factorization.

87830814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 87830814720 in words is "eighty-seven billion, eight hundred thirty million, eight hundred fourteen thousand, seven hundred twenty".