1752756480 has 216 divisors, whose sum is σ = 6099708888. Its totient is φ = 464683008.

The previous prime is 1752756463. The next prime is 1752756487. The reversal of 1752756480 is 846572571.

1752756480 is a `hidden beast` number, since 1 + 7 + 5 + 2 + 7 + 564 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 1751924736 = 912^2 + 41856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1752756487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683834 + ... + 2684486.

It is an arithmetic number, because the mean of its divisors is an integer number (28239393).

Almost surely, 2^1752756480 is an apocalyptic number.

1752756480 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 1752756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049854444).

1752756480 is an abundant number, since it is smaller than the sum of its proper divisors (4346952408).

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

1752756480 is a wasteful number, since it uses less digits than its factorization.

1752756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1752756480 is about 41865.9346008184. The cubic root of 1752756480 is about 1205.7035153128.

The spelling of 1752756480 in words is "one billion, seven hundred fifty-two million, seven hundred fifty-six thousand, four hundred eighty".