872384000 has 160 divisors (see below), whose sum is σ = 2232955296. Its totient is φ = 339763200.

The previous prime is 872383979. The next prime is 872384021. The reversal of 872384000 is 483278.

872384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (872383979) and next prime (872384021).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×872384000² = 1522107686912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751842 + ... + 2752158.

Almost surely, 2^872384000 is an apocalyptic number.

872384000 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 872384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116477648).

872384000 is an abundant number, since it is smaller than the sum of its proper divisors (1360571296).

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

872384000 is an equidigital number, since it uses as much as digits as its factorization.

872384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 872384000 is about 29536.1473452446. The cubic root of 872384000 is about 955.5114536063.

The spelling of 872384000 in words is "eight hundred seventy-two million, three hundred eighty-four thousand".