8002675200 has 960 divisors, whose sum is σ = 32222437632. Its totient is φ = 1730150400.

The previous prime is 8002675169. The next prime is 8002675201. The reversal of 8002675200 is 25762008.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8002675201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195187180 + ... + 195187220.

Almost surely, 2^8002675200 is an apocalyptic number.

8002675200 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 8002675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111218816).

8002675200 is an abundant number, since it is smaller than the sum of its proper divisors (24219762432).

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

8002675200 is a wasteful number, since it uses less digits than its factorization.

8002675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8002675200 is about 89457.6726726109. The cubic root of 8002675200 is about 2000.2229084883. Note that the first 3 decimals are identical.

The spelling of 8002675200 in words is "eight billion, two million, six hundred seventy-five thousand, two hundred".