1799928000 has 448 divisors, whose sum is σ = 7122810240. Its totient is φ = 442368000.

The previous prime is 1799927971. The next prime is 1799928017. The reversal of 1799928000 is 8299971.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807680 + ... + 2808320.

It is an arithmetic number, because the mean of its divisors is an integer number (15899130).

Almost surely, 2^1799928000 is an apocalyptic number.

1799928000 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 1799928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561405120).

1799928000 is an abundant number, since it is smaller than the sum of its proper divisors (5322882240).

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

1799928000 is a wasteful number, since it uses less digits than its factorization.

1799928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1799928000 is about 42425.5583345700. The cubic root of 1799928000 is about 1216.4241796931.

The spelling of 1799928000 in words is "one billion, seven hundred ninety-nine million, nine hundred twenty-eight thousand".