8261530200 has 960 divisors, whose sum is σ = 36945849600. Its totient is φ = 1660953600.

The previous prime is 8261530183. The next prime is 8261530219. The reversal of 8261530200 is 20351628.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46153711 + ... + 46153889.

It is an arithmetic number, because the mean of its divisors is an integer number (38485260).

Almost surely, 2^8261530200 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 8261530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

8261530200 is an abundant number, since it is smaller than the sum of its proper divisors (28684319400).

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

8261530200 is a wasteful number, since it uses less digits than its factorization.

8261530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8261530200 is about 90892.9601234331. The cubic root of 8261530200 is about 2021.5609116214.

Adding to 8261530200 its reverse (20351628), we get a palindrome (8281881828).

The spelling of 8261530200 in words is "eight billion, two hundred sixty-one million, five hundred thirty thousand, two hundred".