87763100 has 72 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 33745600.

The previous prime is 87763087. The next prime is 87763127. The reversal of 87763100 is 136778.

It is a happy number.

It is a super-2 number, since 2×87763100² = 15404723443220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333569 + ... + 333831.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^87763100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87763100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

87763100 is an abundant number, since it is smaller than the sum of its proper divisors (110224228).

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

87763100 is a wasteful number, since it uses less digits than its factorization.

87763100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 87763100 is about 9368.1961977747. The cubic root of 87763100 is about 444.3965223793.

Adding to 87763100 its reverse (136778), we get a palindrome (87899878).

The spelling of 87763100 in words is "eighty-seven million, seven hundred sixty-three thousand, one hundred".