87100800 has 192 divisors, whose sum is σ = 294951360. Its totient is φ = 22579200.

The previous prime is 87100799. The next prime is 87100801. The reversal of 87100800 is 800178.

It is an interprime number because it is at equal distance from previous prime (87100799) and next prime (87100801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87100801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412695 + ... + 412905.

It is an arithmetic number, because the mean of its divisors is an integer number (1536205).

Almost surely, 2^87100800 is an apocalyptic number.

87100800 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 87100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147475680).

87100800 is an abundant number, since it is smaller than the sum of its proper divisors (207850560).

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

87100800 is a wasteful number, since it uses less digits than its factorization.

87100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 87100800 is about 9332.7809360340. The cubic root of 87100800 is about 443.2758262353.

Adding to 87100800 its reverse (800178), we get a palindrome (87900978).

The spelling of 87100800 in words is "eighty-seven million, one hundred thousand, eight hundred".