8166100800 has 336 divisors, whose sum is σ = 31478110272. Its totient is φ = 1827225600.

The previous prime is 8166100777. The next prime is 8166100867. The reversal of 8166100800 is 80016618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680452 + ... + 692348.

It is an arithmetic number, because the mean of its divisors is an integer number (93684852).

Almost surely, 2^8166100800 is an apocalyptic number.

8166100800 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 8166100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739055136).

8166100800 is an abundant number, since it is smaller than the sum of its proper divisors (23312009472).

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

8166100800 is a wasteful number, since it uses less digits than its factorization.

8166100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8166100800 is about 90366.4805113046. The cubic root of 8166100800 is about 2013.7470264713.

The spelling of 8166100800 in words is "eight billion, one hundred sixty-six million, one hundred thousand, eight hundred".