8001772900 has 36 divisors (see below), whose sum is σ = 18942381360. Its totient is φ = 2909735200.

The previous prime is 8001772897. The next prime is 8001772901. The reversal of 8001772900 is 92771008.

It is not an unprimeable number, because it can be changed into a prime (8001772901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3636070 + ... + 3638269.

It is an arithmetic number, because the mean of its divisors is an integer number (526177260).

Almost surely, 2^8001772900 is an apocalyptic number.

It is an amenable number.

8001772900 is an abundant number, since it is smaller than the sum of its proper divisors (10940608460).

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

8001772900 is a wasteful number, since it uses less digits than its factorization.

8001772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274364 (or 7274357 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 8001772900 is about 89452.6293632557. The cubic root of 8001772900 is about 2000.1477307542.

The spelling of 8001772900 in words is "eight billion, one million, seven hundred seventy-two thousand, nine hundred".