87736377600 has 324 divisors, whose sum is σ = 314583250800. Its totient is φ = 23328829440.

The previous prime is 87736377557. The next prime is 87736377611. The reversal of 87736377600 is 677363778.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21828391 + ... + 21832409.

Almost surely, 2^87736377600 is an apocalyptic number.

87736377600 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 87736377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157291625400).

87736377600 is an abundant number, since it is smaller than the sum of its proper divisors (226846873200).

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

87736377600 is a wasteful number, since it uses less digits than its factorization.

87736377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 87736377600 in words is "eighty-seven billion, seven hundred thirty-six million, three hundred seventy-seven thousand, six hundred".