8027305440 has 1152 divisors, whose sum is σ = 35742228480. Its totient is φ = 1490227200.

The previous prime is 8027305439. The next prime is 8027305457. The reversal of 8027305440 is 445037208.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113060605 + ... + 113060675.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 2^8027305440 is an apocalyptic number.

8027305440 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 8027305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871114240).

8027305440 is an abundant number, since it is smaller than the sum of its proper divisors (27714923040).

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

8027305440 is a wasteful number, since it uses less digits than its factorization.

8027305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 8027305440 is about 89595.2311230905. The cubic root of 8027305440 is about 2002.2728693872.

The spelling of 8027305440 in words is "eight billion, twenty-seven million, three hundred five thousand, four hundred forty".