87771600 has 420 divisors, whose sum is σ = 369731296. Its totient is φ = 19595520.

The previous prime is 87771599. The next prime is 87771613. The reversal of 87771600 is 617778.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041179 + ... + 2041221.

Almost surely, 2^87771600 is an apocalyptic number.

87771600 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 87771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184865648).

87771600 is an abundant number, since it is smaller than the sum of its proper divisors (281959696).

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

87771600 is a wasteful number, since it uses less digits than its factorization.

87771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 87771600 is about 9368.6498493646. The cubic root of 87771600 is about 444.4108687599.

The spelling of 87771600 in words is "eighty-seven million, seven hundred seventy-one thousand, six hundred".