1645300800 has 1008 divisors, whose sum is σ = 7429024512. Its totient is φ = 339148800.

The previous prime is 1645300799. The next prime is 1645300823. The reversal of 1645300800 is 80035461.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35006377 + ... + 35006423.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^1645300800 is an apocalyptic number.

1645300800 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 1645300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714512256).

1645300800 is an abundant number, since it is smaller than the sum of its proper divisors (5783723712).

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

1645300800 is a wasteful number, since it uses less digits than its factorization.

1645300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1645300800 is about 40562.3076266625. The cubic root of 1645300800 is about 1180.5428891364.

The spelling of 1645300800 in words is "one billion, six hundred forty-five million, three hundred thousand, eight hundred".