872143776 has 144 divisors (see below), whose sum is σ = 2983780800. Its totient is φ = 236058624.

The previous prime is 872143747. The next prime is 872143793. The reversal of 872143776 is 677341278.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 26920 + ... + 49688.

It is an arithmetic number, because the mean of its divisors is an integer number (20720700).

Almost surely, 2^872143776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872143776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491890400).

872143776 is an abundant number, since it is smaller than the sum of its proper divisors (2111637024).

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

872143776 is a wasteful number, since it uses less digits than its factorization.

872143776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22811 (or 22800 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 872143776 is about 29532.0804549900. The cubic root of 872143776 is about 955.4237407583.

The spelling of 872143776 in words is "eight hundred seventy-two million, one hundred forty-three thousand, seven hundred seventy-six".