87180800 has 180 divisors, whose sum is σ = 253069740. Its totient is φ = 29675520.

The previous prime is 87180799. The next prime is 87180809. The reversal of 87180800 is 808178.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87180809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 627131 + ... + 627269.

It is an arithmetic number, because the mean of its divisors is an integer number (1405943).

Almost surely, 2^87180800 is an apocalyptic number.

87180800 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 87180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126534870).

87180800 is an abundant number, since it is smaller than the sum of its proper divisors (165888940).

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

87180800 is a wasteful number, since it uses less digits than its factorization.

87180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 87180800 is about 9337.0659202985. The cubic root of 87180800 is about 443.4114974523.

Adding to 87180800 its reverse (808178), we get a palindrome (87988978).

The spelling of 87180800 in words is "eighty-seven million, one hundred eighty thousand, eight hundred".