8051860800 has 126 divisors (see below), whose sum is σ = 28618265598. Its totient is φ = 2147159040.

The previous prime is 8051860781. The next prime is 8051860801. The reversal of 8051860800 is 80681508.

8051860800 is a `hidden beast` number, since 8 + 0 + 518 + 60 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33732864 + 8018127936 = 5808^2 + 89544^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8051860801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265179 + ... + 293978.

Almost surely, 2^8051860800 is an apocalyptic number.

8051860800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8051860800 is an abundant number, since it is smaller than the sum of its proper divisors (20566404798).

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

8051860800 is a wasteful number, since it uses less digits than its factorization.

8051860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559185 (or 559167 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8051860800 is about 89732.1614584202. The cubic root of 8051860800 is about 2004.3124281319.

The spelling of 8051860800 in words is "eight billion, fifty-one million, eight hundred sixty thousand, eight hundred".