8162722800 has 360 divisors, whose sum is σ = 30034171440. Its totient is φ = 2049331200.

The previous prime is 8162722781. The next prime is 8162722807. The reversal of 8162722800 is 82272618.

It is a happy number.

8162722800 is a `hidden beast` number, since 8 + 1 + 627 + 2 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (8162722807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4279447 + ... + 4281353.

It is an arithmetic number, because the mean of its divisors is an integer number (83428254).

Almost surely, 2^8162722800 is an apocalyptic number.

8162722800 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 8162722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017085720).

8162722800 is an abundant number, since it is smaller than the sum of its proper divisors (21871448640).

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

8162722800 is a wasteful number, since it uses less digits than its factorization.

8162722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8162722800 is about 90347.7880194086. The cubic root of 8162722800 is about 2013.4693184274.

The spelling of 8162722800 in words is "eight billion, one hundred sixty-two million, seven hundred twenty-two thousand, eight hundred".