844227072 has 240 divisors, whose sum is σ = 2781618840. Its totient is φ = 244187136.

The previous prime is 844227071. The next prime is 844227073. The reversal of 844227072 is 270722448.

It is an interprime number because it is at equal distance from previous prime (844227071) and next prime (844227073).

It can be written as a sum of positive squares in 4 ways, for example, as 714813696 + 129413376 = 26736^2 + 11376^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (844227071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017954 + ... + 1018782.

Almost surely, 2^844227072 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 844227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390809420).

844227072 is an abundant number, since it is smaller than the sum of its proper divisors (1937391768).

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

844227072 is a wasteful number, since it uses less digits than its factorization.

844227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 844227072 is about 29055.5859001329. The cubic root of 844227072 is about 945.1188495855.

The spelling of 844227072 in words is "eight hundred forty-four million, two hundred twenty-seven thousand, seventy-two".