1325900800 has 264 divisors, whose sum is σ = 3858185600. Its totient is φ = 451584000.

The previous prime is 1325900791. The next prime is 1325900827. The reversal of 1325900800 is 80095231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8780725 + ... + 8780875.

Almost surely, 2^1325900800 is an apocalyptic number.

1325900800 is a gapful number since it is divisible by the number (10) 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 1325900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929092800).

1325900800 is an abundant number, since it is smaller than the sum of its proper divisors (2532284800).

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

1325900800 is an equidigital number, since it uses as much as digits as its factorization.

1325900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1325900800 is about 36412.9207836998. The cubic root of 1325900800 is about 1098.5934639804.

The spelling of 1325900800 in words is "one billion, three hundred twenty-five million, nine hundred thousand, eight hundred".