87740100 has 216 divisors, whose sum is σ = 331298240. Its totient is φ = 18973440.

The previous prime is 87740099. The next prime is 87740141. The reversal of 87740100 is 104778.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119334 + ... + 120066.

Almost surely, 2^87740100 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 87740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165649120).

87740100 is an abundant number, since it is smaller than the sum of its proper divisors (243558140).

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

87740100 is a wasteful number, since it uses less digits than its factorization.

87740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 87740100 is about 9366.9685597850. The cubic root of 87740100 is about 444.3576981163.

Adding to 87740100 its reverse (104778), we get a palindrome (87844878).

The spelling of 87740100 in words is "eighty-seven million, seven hundred forty thousand, one hundred".