8007272800 has 36 divisors (see below), whose sum is σ = 19547756676. Its totient is φ = 3202908800.

The previous prime is 8007272797. The next prime is 8007272857. The reversal of 8007272800 is 82727008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5003746 + ... + 5005345.

It is an arithmetic number, because the mean of its divisors is an integer number (542993241).

Almost surely, 2^8007272800 is an apocalyptic number.

8007272800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8007272800 is an abundant number, since it is smaller than the sum of its proper divisors (11540483876).

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

8007272800 is a wasteful number, since it uses less digits than its factorization.

8007272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009111 (or 10009098 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 8007272800 is about 89483.3660520211. The cubic root of 8007272800 is about 2000.6058831010.

Adding to 8007272800 its reverse (82727008), we get a palindrome (8089999808).

The spelling of 8007272800 in words is "eight billion, seven million, two hundred seventy-two thousand, eight hundred".