844747680 has 384 divisors, whose sum is σ = 3365203968. Its totient is φ = 173555712.

The previous prime is 844747679. The next prime is 844747681. The reversal of 844747680 is 86747448.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (844747679) and next prime (844747681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (844747681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313439 + ... + 1314081.

It is an arithmetic number, because the mean of its divisors is an integer number (8763552).

Almost surely, 2^844747680 is an apocalyptic number.

844747680 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 844747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682601984).

844747680 is an abundant number, since it is smaller than the sum of its proper divisors (2520456288).

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

844747680 is a wasteful number, since it uses less digits than its factorization.

844747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 844747680 is about 29064.5433475223. The cubic root of 844747680 is about 945.3130845822.

The spelling of 844747680 in words is "eight hundred forty-four million, seven hundred forty-seven thousand, six hundred eighty".