8006755900 has 72 divisors (see below), whose sum is σ = 20412224784. Its totient is φ = 2687577600.

The previous prime is 8006755879. The next prime is 8006755901. The reversal of 8006755900 is 95576008.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006755901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265657 + ... + 294256.

It is an arithmetic number, because the mean of its divisors is an integer number (283503122).

Almost surely, 2^8006755900 is an apocalyptic number.

It is an amenable number.

8006755900 is an abundant number, since it is smaller than the sum of its proper divisors (12405468884).

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

8006755900 is a wasteful number, since it uses less digits than its factorization.

8006755900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559951 (or 559944 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 8006755900 is about 89480.4777591179. The cubic root of 8006755900 is about 2000.5628332612.

The spelling of 8006755900 in words is "eight billion, six million, seven hundred fifty-five thousand, nine hundred".