878630400 has 360 divisors, whose sum is σ = 3265170480. Its totient is φ = 225361920.

The previous prime is 878630399. The next prime is 878630477. The reversal of 878630400 is 4036878.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340669 + ... + 3340931.

It is an arithmetic number, because the mean of its divisors is an integer number (9069918).

Almost surely, 2^878630400 is an apocalyptic number.

878630400 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 878630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632585240).

878630400 is an abundant number, since it is smaller than the sum of its proper divisors (2386540080).

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

878630400 is a wasteful number, since it uses less digits than its factorization.

878630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 878630400 is about 29641.7003560862. The cubic root of 878630400 is about 957.7865671671.

The spelling of 878630400 in words is "eight hundred seventy-eight million, six hundred thirty thousand, four hundred".