8122752000 has 528 divisors, whose sum is σ = 31981738464. Its totient is φ = 1966080000.

The previous prime is 8122751999. The next prime is 8122752007. The reversal of 8122752000 is 2572218.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8122752007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671680 + ... + 12672320.

Almost surely, 2^8122752000 is an apocalyptic number.

8122752000 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 8122752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990869232).

8122752000 is an abundant number, since it is smaller than the sum of its proper divisors (23858986464).

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

8122752000 is a wasteful number, since it uses less digits than its factorization.

8122752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8122752000 is about 90126.3113635524. The cubic root of 8122752000 is about 2010.1774551874.

The spelling of 8122752000 in words is "eight billion, one hundred twenty-two million, seven hundred fifty-two thousand".