878248800 has 432 divisors, whose sum is σ = 3642610608. Its totient is φ = 196300800.

The previous prime is 878248793. The next prime is 878248853. The reversal of 878248800 is 8842878.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1029174 + ... + 1030026.

It is an arithmetic number, because the mean of its divisors is an integer number (8431969).

Almost surely, 2^878248800 is an apocalyptic number.

878248800 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 878248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821305304).

878248800 is an abundant number, since it is smaller than the sum of its proper divisors (2764361808).

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

878248800 is a wasteful number, since it uses less digits than its factorization.

878248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 878248800 is about 29635.2627793310. The cubic root of 878248800 is about 957.6478875891.

The spelling of 878248800 in words is "eight hundred seventy-eight million, two hundred forty-eight thousand, eight hundred".