872608000 has 288 divisors, whose sum is σ = 2471833728. Its totient is φ = 304128000.

The previous prime is 872607997. The next prime is 872608019. The reversal of 872608000 is 806278.

It is a super-2 number, since 2×872608000² = 1522889443328000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13023967 + ... + 13024033.

It is an arithmetic number, because the mean of its divisors is an integer number (8582756).

Almost surely, 2^872608000 is an apocalyptic number.

872608000 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 872608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235916864).

872608000 is an abundant number, since it is smaller than the sum of its proper divisors (1599225728).

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

872608000 is a wasteful number, since it uses less digits than its factorization.

872608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 872608000 is about 29539.9390656108. The cubic root of 872608000 is about 955.5932280883.

The spelling of 872608000 in words is "eight hundred seventy-two million, six hundred eight thousand".