8132980200 has 384 divisors, whose sum is σ = 27962496000. Its totient is φ = 1953177600.

The previous prime is 8132980171. The next prime is 8132980201. The reversal of 8132980200 is 20892318.

It is a super-2 number, since 2×8132980200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132980201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91381756 + ... + 91381844.

It is an arithmetic number, because the mean of its divisors is an integer number (72819000).

Almost surely, 2^8132980200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13981248000).

8132980200 is an abundant number, since it is smaller than the sum of its proper divisors (19829515800).

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

8132980200 is a wasteful number, since it uses less digits than its factorization.

8132980200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8132980200 is about 90183.0372076700. The cubic root of 8132980200 is about 2011.0208423025.

The spelling of 8132980200 in words is "eight billion, one hundred thirty-two million, nine hundred eighty thousand, two hundred".