872800444 has 48 divisors (see below), whose sum is σ = 1595897856. Its totient is φ = 417412800.

The previous prime is 872800433. The next prime is 872800459. The reversal of 872800444 is 444008278.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437589 + ... + 1438195.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^872800444 is an apocalyptic number.

It is an amenable number.

872800444 is a deficient number, since it is larger than the sum of its proper divisors (723097412).

872800444 is a wasteful number, since it uses less digits than its factorization.

872800444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 872800444 is about 29543.1962387281. The cubic root of 872800444 is about 955.6634714148.

The spelling of 872800444 in words is "eight hundred seventy-two million, eight hundred thousand, four hundred forty-four".