8069275200 has 672 divisors, whose sum is σ = 31993888768. Its totient is φ = 1741824000.

The previous prime is 8069275187. The next prime is 8069275217. The reversal of 8069275200 is 25729608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8069275200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63537537 + ... + 63537663.

Almost surely, 2^8069275200 is an apocalyptic number.

8069275200 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 8069275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996944384).

8069275200 is an abundant number, since it is smaller than the sum of its proper divisors (23924613568).

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

8069275200 is a wasteful number, since it uses less digits than its factorization.

8069275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 8069275200 is about 89829.1444910837. The cubic root of 8069275200 is about 2005.7563496577.

The spelling of 8069275200 in words is "eight billion, sixty-nine million, two hundred seventy-five thousand, two hundred".