8072851680 has 144 divisors (see below), whose sum is σ = 27633466224. Its totient is φ = 2146129920.

The previous prime is 8072851679. The next prime is 8072851687. The reversal of 8072851680 is 861582708.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072851687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468172 + ... + 485108.

It is an arithmetic number, because the mean of its divisors is an integer number (191899071).

Almost surely, 2^8072851680 is an apocalyptic number.

8072851680 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 8072851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816733112).

8072851680 is an abundant number, since it is smaller than the sum of its proper divisors (19560614544).

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

8072851680 is a wasteful number, since it uses less digits than its factorization.

8072851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17289 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 8072851680 is about 89849.0494106643. The cubic root of 8072851680 is about 2006.0526376442.

The spelling of 8072851680 in words is "eight billion, seventy-two million, eight hundred fifty-one thousand, six hundred eighty".