878242100 has 54 divisors (see below), whose sum is σ = 2024551410. Its totient is φ = 330621440.

The previous prime is 878242093. The next prime is 878242133. The reversal of 878242100 is 1242878.

It can be written as a sum of positive squares in 9 ways, for example, as 16467364 + 861774736 = 4058^2 + 29356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13706 + ... + 44094.

Almost surely, 2^878242100 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 878242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012275705).

878242100 is an abundant number, since it is smaller than the sum of its proper divisors (1146309310).

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

878242100 is a wasteful number, since it uses less digits than its factorization.

878242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30437 (or 30413 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 878242100 is about 29635.1497381066. The cubic root of 878242100 is about 957.6454523426.

Adding to 878242100 its reverse (1242878), we get a palindrome (879484978).

The spelling of 878242100 in words is "eight hundred seventy-eight million, two hundred forty-two thousand, one hundred".