878853600 has 216 divisors, whose sum is σ = 3183780600. Its totient is φ = 227957760.

The previous prime is 878853583. The next prime is 878853601. The reversal of 878853600 is 6358878.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878853601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264751 + ... + 268049.

It is an arithmetic number, because the mean of its divisors is an integer number (14739725).

Almost surely, 2^878853600 is an apocalyptic number.

878853600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591890300).

878853600 is an abundant number, since it is smaller than the sum of its proper divisors (2304927000).

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

878853600 is a wasteful number, since it uses less digits than its factorization.

878853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 878853600 is about 29645.4650832130. The cubic root of 878853600 is about 957.8676630266.

The spelling of 878853600 in words is "eight hundred seventy-eight million, eight hundred fifty-three thousand, six hundred".