8066671200 has 576 divisors, whose sum is σ = 34437795840. Its totient is φ = 1783296000.

The previous prime is 8066671181. The next prime is 8066671211. The reversal of 8066671200 is 21766608.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4686340 + ... + 4688060.

It is an arithmetic number, because the mean of its divisors is an integer number (59787840).

Almost surely, 2^8066671200 is an apocalyptic number.

8066671200 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 8066671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218897920).

8066671200 is an abundant number, since it is smaller than the sum of its proper divisors (26371124640).

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

8066671200 is a wasteful number, since it uses less digits than its factorization.

8066671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8066671200 is about 89814.6491392134. The cubic root of 8066671200 is about 2005.5405702006.

The spelling of 8066671200 in words is "eight billion, sixty-six million, six hundred seventy-one thousand, two hundred".