8440830720 has 1152 divisors, whose sum is σ = 37580820480. Its totient is φ = 1751777280.

The previous prime is 8440830719. The next prime is 8440830733. The reversal of 8440830720 is 270380448.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205873900 + ... + 205873940.

It is an arithmetic number, because the mean of its divisors is an integer number (32622240).

Almost surely, 2^8440830720 is an apocalyptic number.

8440830720 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 8440830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790410240).

8440830720 is an abundant number, since it is smaller than the sum of its proper divisors (29139989760).

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

8440830720 is a wasteful number, since it uses less digits than its factorization.

8440830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8440830720 is about 91873.9937087748. The cubic root of 8440830720 is about 2036.0810576509.

It can be divided in two parts, 8440 and 830720, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 8440830720 in words is "eight billion, four hundred forty million, eight hundred thirty thousand, seven hundred twenty".