1794960000 has 400 divisors, whose sum is σ = 6699175890. Its totient is φ = 476928000.

The previous prime is 1794959987. The next prime is 1794960019. The reversal of 1794960000 is 694971.

1794960000 is a `hidden beast` number, since 1 + 7 + 9 + 49 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8714304 + 1786245696 = 2952^2 + 42264^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479862 + ... + 6480138.

Almost surely, 2^1794960000 is an apocalyptic number.

1794960000 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 1794960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349587945).

1794960000 is an abundant number, since it is smaller than the sum of its proper divisors (4904215890).

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

1794960000 is an frugal number, since it uses more digits than its factorization.

1794960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1794960000 is about 42366.9682653834. The cubic root of 1794960000 is about 1215.3039934360.

The spelling of 1794960000 in words is "one billion, seven hundred ninety-four million, nine hundred sixty thousand".