8125578720 has 384 divisors, whose sum is σ = 32717260800. Its totient is φ = 1845006336.

The previous prime is 8125578709. The next prime is 8125578743. The reversal of 8125578720 is 278755218.

8125578720 is a `hidden beast` number, since 8 + 1 + 2 + 5 + 578 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5049276 + ... + 5050884.

It is an arithmetic number, because the mean of its divisors is an integer number (85201200).

Almost surely, 2^8125578720 is an apocalyptic number.

8125578720 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 8125578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358630400).

8125578720 is an abundant number, since it is smaller than the sum of its proper divisors (24591682080).

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

8125578720 is a wasteful number, since it uses less digits than its factorization.

8125578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 8125578720 is about 90141.9919904148. The cubic root of 8125578720 is about 2010.4106089185.

The spelling of 8125578720 in words is "eight billion, one hundred twenty-five million, five hundred seventy-eight thousand, seven hundred twenty".