872847360 has 768 divisors, whose sum is σ = 3962649600. Its totient is φ = 176947200.

The previous prime is 872847329. The next prime is 872847361. The reversal of 872847360 is 63748278.

It is a happy number.

872847360 is a `hidden beast` number, since 8 + 7 + 284 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872847361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288940 + ... + 21288980.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^872847360 is an apocalyptic number.

872847360 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 872847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

872847360 is an abundant number, since it is smaller than the sum of its proper divisors (3089802240).

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

872847360 is a wasteful number, since it uses less digits than its factorization.

872847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 872847360 is about 29543.9902518262. The cubic root of 872847360 is about 955.6805944981.

The spelling of 872847360 in words is "eight hundred seventy-two million, eight hundred forty-seven thousand, three hundred sixty".