878637520800 has 720 divisors, whose sum is σ = 3471220562040. Its totient is φ = 214994165760.

The previous prime is 878637520781. The next prime is 878637520829. The reversal of 878637520800 is 8025736878.

878637520800 is a `hidden beast` number, since 8 + 7 + 8 + 6 + 37 + 520 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 247203862416 + 631433658384 = 497196^2 + 794628^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145732186 + ... + 145738214.

Almost surely, 2^878637520800 is an apocalyptic number.

878637520800 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 878637520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735610281020).

878637520800 is an abundant number, since it is smaller than the sum of its proper divisors (2592583041240).

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

878637520800 is a wasteful number, since it uses less digits than its factorization.

878637520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 878637520800 in words is "eight hundred seventy-eight billion, six hundred thirty-seven million, five hundred twenty thousand, eight hundred".