1799328960 has 672 divisors, whose sum is σ = 7728581952. Its totient is φ = 377487360.

The previous prime is 1799328953. The next prime is 1799328961. The reversal of 1799328960 is 698239971.

It is a junction number, because it is equal to n+sod(n) for n = 1799328897 and 1799328906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1799328961) 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, 7001152 + ... + 7001408.

It is an arithmetic number, because the mean of its divisors is an integer number (11500866).

Almost surely, 2^1799328960 is an apocalyptic number.

1799328960 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 1799328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864290976).

1799328960 is an abundant number, since it is smaller than the sum of its proper divisors (5929252992).

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

1799328960 is a wasteful number, since it uses less digits than its factorization.

1799328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1799328960 is about 42418.4978517627. The cubic root of 1799328960 is about 1216.2892173327.

The spelling of 1799328960 in words is "one billion, seven hundred ninety-nine million, three hundred twenty-eight thousand, nine hundred sixty".