844826080 has 96 divisors (see below), whose sum is σ = 2312501184. Its totient is φ = 285659136.

The previous prime is 844826071. The next prime is 844826093. The reversal of 844826080 is 80628448.

It is a super-2 number, since 2×844826080² = 1427462210896332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76594 + ... + 86926.

It is an arithmetic number, because the mean of its divisors is an integer number (24088554).

Almost surely, 2^844826080 is an apocalyptic number.

844826080 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 844826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156250592).

844826080 is an abundant number, since it is smaller than the sum of its proper divisors (1467675104).

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

844826080 is a wasteful number, since it uses less digits than its factorization.

844826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 844826080 is about 29065.8920386077. The cubic root of 844826080 is about 945.3423281283.

The spelling of 844826080 in words is "eight hundred forty-four million, eight hundred twenty-six thousand, eighty".