8025901200 has 180 divisors, whose sum is σ = 28884015888. Its totient is φ = 2140214400.

The previous prime is 8025901193. The next prime is 8025901217. The reversal of 8025901200 is 21095208.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×8025901200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55915 + ... + 138485.

Almost surely, 2^8025901200 is an apocalyptic number.

8025901200 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 8025901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442007944).

8025901200 is an abundant number, since it is smaller than the sum of its proper divisors (20858114688).

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

8025901200 is a wasteful number, since it uses less digits than its factorization.

8025901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82604 (or 82581 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8025901200 is about 89587.3942025328. The cubic root of 8025901200 is about 2002.1561080970.

Adding to 8025901200 its reverse (21095208), we get a palindrome (8046996408).

The spelling of 8025901200 in words is "eight billion, twenty-five million, nine hundred one thousand, two hundred".