878616000 has 168 divisors, whose sum is σ = 3143213424. Its totient is φ = 234278400.

The previous prime is 878615977. The next prime is 878616007. The reversal of 878616000 is 616878.

878616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878616007) 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, 65899 + ... + 78101.

Almost surely, 2^878616000 is an apocalyptic number.

878616000 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 878616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571606712).

878616000 is an abundant number, since it is smaller than the sum of its proper divisors (2264597424).

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

878616000 is a wasteful number, since it uses less digits than its factorization.

878616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 878616000 is about 29641.4574540457. The cubic root of 878616000 is about 957.7813347046.

The spelling of 878616000 in words is "eight hundred seventy-eight million, six hundred sixteen thousand".