844687872 has 480 divisors, whose sum is σ = 3078820800. Its totient is φ = 227598336.

The previous prime is 844687867. The next prime is 844687919. The reversal of 844687872 is 278786448.

It is a happy number.

It is a super-2 number, since 2×844687872² = 1426995202207776768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4816896) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19643883 + ... + 19643925.

It is an arithmetic number, because the mean of its divisors is an integer number (6414210).

Almost surely, 2^844687872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539410400).

844687872 is an abundant number, since it is smaller than the sum of its proper divisors (2234132928).

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

844687872 is a wasteful number, since it uses less digits than its factorization.

844687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 844687872 is about 29063.5144468111. The cubic root of 844687872 is about 945.2907747175.

The spelling of 844687872 in words is "eight hundred forty-four million, six hundred eighty-seven thousand, eight hundred seventy-two".