8025605280 has 768 divisors, whose sum is σ = 36578304000. Its totient is φ = 1593630720.

The previous prime is 8025605267. The next prime is 8025605297. The reversal of 8025605280 is 825065208.

8025605280 is a `hidden beast` number, since 8 + 0 + 25 + 605 + 28 + 0 = 666.

It is a super-2 number, since 2×8025605280² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7650196 + ... + 7651244.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^8025605280 is an apocalyptic number.

8025605280 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 8025605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

8025605280 is an abundant number, since it is smaller than the sum of its proper divisors (28552698720).

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

8025605280 is a wasteful number, since it uses less digits than its factorization.

8025605280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8025605280 is about 89585.7426156640. The cubic root of 8025605280 is about 2002.1315008783.

The spelling of 8025605280 in words is "eight billion, twenty-five million, six hundred five thousand, two hundred eighty".