1790530560 has 792 divisors, whose sum is σ = 7899635016. Its totient is φ = 371589120.

The previous prime is 1790530537. The next prime is 1790530561. The reversal of 1790530560 is 650350971.

It is a happy number.

1790530560 is a `hidden beast` number, since 1 + 7 + 90 + 5 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 1735888896 = 7392^2 + 41664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1790530561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29352930 + ... + 29352990.

Almost surely, 2^1790530560 is an apocalyptic number.

1790530560 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 1790530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949817508).

1790530560 is an abundant number, since it is smaller than the sum of its proper divisors (6109104456).

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

1790530560 is a wasteful number, since it uses less digits than its factorization.

1790530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1790530560 is about 42314.6612889670. The cubic root of 1790530560 is about 1214.3034975679.

The spelling of 1790530560 in words is "one billion, seven hundred ninety million, five hundred thirty thousand, five hundred sixty".