8007072800 has 144 divisors (see below), whose sum is σ = 20483813952. Its totient is φ = 3050572800.

The previous prime is 8007072769. The next prime is 8007072839. The reversal of 8007072800 is 82707008.

It is a happy number.

It is a super-2 number, since 2×8007072800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5096015 + ... + 5097585.

It is an arithmetic number, because the mean of its divisors is an integer number (142248708).

Almost surely, 2^8007072800 is an apocalyptic number.

8007072800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241906976).

8007072800 is an abundant number, since it is smaller than the sum of its proper divisors (12476741152).

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

8007072800 is a wasteful number, since it uses less digits than its factorization.

8007072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 8007072800 is about 89482.2485189102. The cubic root of 8007072800 is about 2000.5892263891.

Adding to 8007072800 its reverse (82707008), we get a palindrome (8089779808).

The spelling of 8007072800 in words is "eight billion, seven million, seventy-two thousand, eight hundred".