878643200 has 108 divisors (see below), whose sum is σ = 2195259885. Its totient is φ = 348774400.

The previous prime is 878643197. The next prime is 878643203. The reversal of 878643200 is 2346878.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (878643197) and next prime (878643203).

It can be written as a sum of positive squares in 2 ways, for example, as 861070336 + 17572864 = 29344^2 + 4192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20960.

It is not an unprimeable number, because it can be changed into a prime (878643203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6707135 + ... + 6707265.

Almost surely, 2^878643200 is an apocalyptic number.

878643200 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 878643200

878643200 is an abundant number, since it is smaller than the sum of its proper divisors (1316616685).

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

878643200 is an equidigital number, since it uses as much as digits as its factorization.

878643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 878643200 is about 29641.9162673401. The cubic root of 878643200 is about 957.7912181969.

The spelling of 878643200 in words is "eight hundred seventy-eight million, six hundred forty-three thousand, two hundred".