844159680 has 336 divisors, whose sum is σ = 3574718784. Its totient is φ = 178053120.

The previous prime is 844159627. The next prime is 844159681. The reversal of 844159680 is 86951448.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (844159681) 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, 260470 + ... + 263690.

It is an arithmetic number, because the mean of its divisors is an integer number (10639044).

Almost surely, 2^844159680 is an apocalyptic number.

844159680 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 844159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787359392).

844159680 is an abundant number, since it is smaller than the sum of its proper divisors (2730559104).

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

844159680 is a wasteful number, since it uses less digits than its factorization.

844159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 844159680 is about 29054.4261688301. The cubic root of 844159680 is about 945.0937002916.

It can be divided in two parts, 8441 and 59680, that added together give a square (68121 = 261²).

The spelling of 844159680 in words is "eight hundred forty-four million, one hundred fifty-nine thousand, six hundred eighty".