872459784 has 192 divisors, whose sum is σ = 2935296000. Its totient is φ = 228458880.

The previous prime is 872459761. The next prime is 872459789. The reversal of 872459784 is 487954278.

It is a happy number.

It is a super-2 number, since 2×872459784² = 1522372149394653312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872459784.

It is not an unprimeable number, because it can be changed into a prime (872459789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295387 + ... + 298325.

It is an arithmetic number, because the mean of its divisors is an integer number (15288000).

Almost surely, 2^872459784 is an apocalyptic number.

872459784 is a gapful number since it is divisible by the number (84) 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 872459784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

872459784 is an abundant number, since it is smaller than the sum of its proper divisors (2062836216).

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

872459784 is a wasteful number, since it uses less digits than its factorization.

872459784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3001 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 872459784 is about 29537.4302199768. The cubic root of 872459784 is about 955.5391212325.

The spelling of 872459784 in words is "eight hundred seventy-two million, four hundred fifty-nine thousand, seven hundred eighty-four".