8009687700 has 576 divisors, whose sum is σ = 31602977280. Its totient is φ = 1698693120.

The previous prime is 8009687687. The next prime is 8009687723. The reversal of 8009687700 is 77869008.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31165972 + ... + 31166228.

It is an arithmetic number, because the mean of its divisors is an integer number (54866280).

Almost surely, 2^8009687700 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 8009687700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801488640).

8009687700 is an abundant number, since it is smaller than the sum of its proper divisors (23593289580).

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

8009687700 is a wasteful number, since it uses less digits than its factorization.

8009687700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8009687700 is about 89496.8586040873. The cubic root of 8009687700 is about 2000.8069826790.

The spelling of 8009687700 in words is "eight billion, nine million, six hundred eighty-seven thousand, seven hundred".