1756116480 has 160 divisors (see below), whose sum is σ = 5642638848. Its totient is φ = 465920000.

The previous prime is 1756116449. The next prime is 1756116491. The reversal of 1756116480 is 846116571.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927225 + ... + 1928135.

Almost surely, 2^1756116480 is an apocalyptic number.

1756116480 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 1756116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821319424).

1756116480 is an abundant number, since it is smaller than the sum of its proper divisors (3886522368).

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

1756116480 is an equidigital number, since it uses as much as digits as its factorization.

1756116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1756116480 is about 41906.0434782383. The cubic root of 1756116480 is about 1206.4734602431.

Subtracting from 1756116480 its reverse (846116571), we obtain a palindrome (909999909).

The spelling of 1756116480 in words is "one billion, seven hundred fifty-six million, one hundred sixteen thousand, four hundred eighty".