87556800 has 336 divisors, whose sum is σ = 323148960. Its totient is φ = 20643840.

The previous prime is 87556789. The next prime is 87556801. The reversal of 87556800 is 865578.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87556801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2366382 + ... + 2366418.

Almost surely, 2^87556800 is an apocalyptic number.

87556800 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 87556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

87556800 is an abundant number, since it is smaller than the sum of its proper divisors (235592160).

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

87556800 is a wasteful number, since it uses less digits than its factorization.

87556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 87556800 is about 9357.1790620892. The cubic root of 87556800 is about 444.0480428494.

It can be divided in two parts, 875 and 56800, that added together give a palindrome (57675).

The spelling of 87556800 in words is "eighty-seven million, five hundred fifty-six thousand, eight hundred".