878589600 has 432 divisors, whose sum is σ = 3448279296. Its totient is φ = 193536000.

The previous prime is 878589599. The next prime is 878589601. The reversal of 878589600 is 6985878.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (878589599) and next prime (878589601).

It is not an unprimeable number, because it can be changed into a prime (878589601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645480 + ... + 3645720.

It is an arithmetic number, because the mean of its divisors is an integer number (7982128).

Almost surely, 2^878589600 is an apocalyptic number.

878589600 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 878589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

878589600 is an abundant number, since it is smaller than the sum of its proper divisors (2569689696).

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

878589600 is a wasteful number, since it uses less digits than its factorization.

878589600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 878589600 is about 29641.0121284682. The cubic root of 878589600 is about 957.7717417082.

The spelling of 878589600 in words is "eight hundred seventy-eight million, five hundred eighty-nine thousand, six hundred".