8029445760 has 960 divisors, whose sum is σ = 34822953000. Its totient is φ = 1755758592.

The previous prime is 8029445747. The next prime is 8029445761. The reversal of 8029445760 is 675449208.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7084252224 + 945193536 = 84168^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (8029445761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73664586 + ... + 73664694.

Almost surely, 2^8029445760 is an apocalyptic number.

8029445760 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 8029445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411476500).

8029445760 is an abundant number, since it is smaller than the sum of its proper divisors (26793507240).

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

8029445760 is a wasteful number, since it uses less digits than its factorization.

8029445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8029445760 is about 89607.1747127427. The cubic root of 8029445760 is about 2002.4508088745.

The spelling of 8029445760 in words is "eight billion, twenty-nine million, four hundred forty-five thousand, seven hundred sixty".