8205387700 has 36 divisors (see below), whose sum is σ = 17871942060. Its totient is φ = 3269943040.

The previous prime is 8205387689. The next prime is 8205387703. The reversal of 8205387700 is 77835028.

It can be written as a sum of positive squares in 6 ways, for example, as 2901761424 + 5303626276 = 53868^2 + 72826^2 .

It is a super-2 number, since 2×8205387700² (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 (8205387703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125617 + ... + 179416.

It is an arithmetic number, because the mean of its divisors is an integer number (496442835).

Almost surely, 2^8205387700 is an apocalyptic number.

It is an amenable number.

8205387700 is an abundant number, since it is smaller than the sum of its proper divisors (9666554360).

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

8205387700 is a wasteful number, since it uses less digits than its factorization.

8205387700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305316 (or 305309 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 8205387700 is about 90583.5950931514. The cubic root of 8205387700 is about 2016.9712231185.

The spelling of 8205387700 in words is "eight billion, two hundred five million, three hundred eighty-seven thousand, seven hundred".