87578100 has 216 divisors, whose sum is σ = 293925632. Its totient is φ = 21772800.

The previous prime is 87578093. The next prime is 87578111. The reversal of 87578100 is 187578.

87578100 is a `hidden beast` number, since 87 + 578 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×87578100² = 15339847199220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1199664 + ... + 1199736.

Almost surely, 2^87578100 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 87578100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146962816).

87578100 is an abundant number, since it is smaller than the sum of its proper divisors (206347532).

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

87578100 is a wasteful number, since it uses less digits than its factorization.

87578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 87578100 is about 9358.3171564123. The cubic root of 87578100 is about 444.0840478825.

It can be divided in two parts, 87578 and 100, that added together give a palindrome (87678).

The spelling of 87578100 in words is "eighty-seven million, five hundred seventy-eight thousand, one hundred".