878540100 has 72 divisors (see below), whose sum is σ = 2552753280. Its totient is φ = 233278080.

The previous prime is 878540071. The next prime is 878540101. The reversal of 878540100 is 1045878.

It is a happy number.

878540100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (878540101) 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, 65574 + ... + 77826.

Almost surely, 2^878540100 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 878540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276376640).

878540100 is an abundant number, since it is smaller than the sum of its proper divisors (1674213180).

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

878540100 is a wasteful number, since it uses less digits than its factorization.

878540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 878540100 is about 29640.1771249768. The cubic root of 878540100 is about 957.7537543219.

Adding to 878540100 its reverse (1045878), we get a palindrome (879585978).

The spelling of 878540100 in words is "eight hundred seventy-eight million, five hundred forty thousand, one hundred".