872832110304 has 384 divisors, whose sum is σ = 3128881996800. Its totient is φ = 206015201280.

The previous prime is 872832110291. The next prime is 872832110317. The reversal of 872832110304 is 403011238278.

It is an interprime number because it is at equal distance from previous prime (872832110291) and next prime (872832110317).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3524502 + ... + 3764010.

It is an arithmetic number, because the mean of its divisors is an integer number (8148130200).

Almost surely, 2^872832110304 is an apocalyptic number.

872832110304 is a gapful number since it is divisible by the number (84) 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 872832110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564440998400).

872832110304 is an abundant number, since it is smaller than the sum of its proper divisors (2256049886496).

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

872832110304 is a wasteful number, since it uses less digits than its factorization.

872832110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239586 (or 239578 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 872832110304 in words is "eight hundred seventy-two billion, eight hundred thirty-two million, one hundred ten thousand, three hundred four".