87178467600 has 1215 divisors, whose sum is σ = 381733846767. Its totient is φ = 18367534080.

The previous prime is 87178467583. The next prime is 87178467631. The reversal of 87178467600 is 676487178.

The square root of 87178467600 is 295260.

It is a perfect power (a square), and thus also a powerful number.

87178467600 is a `hidden beast` number, since 8 + 7 + 178 + 467 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8275904784 + 78902562816 = 90972^2 + 280896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2356174782 + ... + 2356174818.

Almost surely, 2^87178467600 is an apocalyptic number.

87178467600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87178467600 is the 295260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87178467600

87178467600 is an abundant number, since it is smaller than the sum of its proper divisors (294555379167).

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

87178467600 is a wasteful number, since it uses less digits than its factorization.

87178467600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 87178467600 in words is "eighty-seven billion, one hundred seventy-eight million, four hundred sixty-seven thousand, six hundred".