878119200 has 648 divisors, whose sum is σ = 3820536720. Its totient is φ = 188697600.

The previous prime is 878119199. The next prime is 878119201. The reversal of 878119200 is 2911878.

It is an interprime number because it is at equal distance from previous prime (878119199) and next prime (878119201).

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

It is not an unprimeable number, because it can be changed into a prime (878119201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6703135 + ... + 6703265.

It is an arithmetic number, because the mean of its divisors is an integer number (5895890).

Almost surely, 2^878119200 is an apocalyptic number.

878119200 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 878119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910268360).

878119200 is an abundant number, since it is smaller than the sum of its proper divisors (2942417520).

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

878119200 is a wasteful number, since it uses less digits than its factorization.

878119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 878119200 is about 29633.0761143692. The cubic root of 878119200 is about 957.6007797265.

The spelling of 878119200 in words is "eight hundred seventy-eight million, one hundred nineteen thousand, two hundred".