87751200 has 72 divisors (see below), whose sum is σ = 285637968. Its totient is φ = 23399680.

The previous prime is 87751171. The next prime is 87751207. The reversal of 87751200 is 215778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (87751207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15882 + ... + 20681.

It is an arithmetic number, because the mean of its divisors is an integer number (3967194).

Almost surely, 2^87751200 is an apocalyptic number.

87751200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87751200 is an abundant number, since it is smaller than the sum of its proper divisors (197886768).

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

87751200 is a wasteful number, since it uses less digits than its factorization.

87751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36586 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 87751200 is about 9367.5610486401. The cubic root of 87751200 is about 444.3764358902.

Adding to 87751200 its reverse (215778), we get a palindrome (87966978).

The spelling of 87751200 in words is "eighty-seven million, seven hundred fifty-one thousand, two hundred".