878509800 has 480 divisors, whose sum is σ = 3572152320. Its totient is φ = 195955200.

The previous prime is 878509781. The next prime is 878509831. The reversal of 878509800 is 8905878.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6917337 + ... + 6917463.

It is an arithmetic number, because the mean of its divisors is an integer number (7441984).

Almost surely, 2^878509800 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 878509800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786076160).

878509800 is an abundant number, since it is smaller than the sum of its proper divisors (2693642520).

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

878509800 is a wasteful number, since it uses less digits than its factorization.

878509800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 878509800 is about 29639.6659900209. The cubic root of 878509800 is about 957.7427435278.

The spelling of 878509800 in words is "eight hundred seventy-eight million, five hundred nine thousand, eight hundred".