1793725984 has 48 divisors (see below), whose sum is σ = 3600941400. Its totient is φ = 879298560.

The previous prime is 1793725949. The next prime is 1793725987. The reversal of 1793725984 is 4895273971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 946915984 + 846810000 = 30772^2 + 29100^2 .

It is not an unprimeable number, because it can be changed into a prime (1793725987) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 679932 + ... + 682564.

Almost surely, 2^1793725984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1793725984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800470700).

1793725984 is an abundant number, since it is smaller than the sum of its proper divisors (1807215416).

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

1793725984 is a wasteful number, since it uses less digits than its factorization.

1793725984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3045 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 1793725984 is about 42352.4023403632. The cubic root of 1793725984 is about 1215.0254267119.

The spelling of 1793725984 in words is "one billion, seven hundred ninety-three million, seven hundred twenty-five thousand, nine hundred eighty-four".