872241280 has 64 divisors (see below), whose sum is σ = 2088878400. Its totient is φ = 348281856.

The previous prime is 872241247. The next prime is 872241311. The reversal of 872241280 is 82142278.

872241280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587419 + ... + 588901.

It is an arithmetic number, because the mean of its divisors is an integer number (32638725).

Almost surely, 2^872241280 is an apocalyptic number.

872241280 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 872241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044439200).

872241280 is an abundant number, since it is smaller than the sum of its proper divisors (1216637120).

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

872241280 is a wasteful number, since it uses less digits than its factorization.

872241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 872241280 is about 29533.7312238058. The cubic root of 872241280 is about 955.4593442783.

The spelling of 872241280 in words is "eight hundred seventy-two million, two hundred forty-one thousand, two hundred eighty".