1760868480 has 256 divisors, whose sum is σ = 6589820160. Its totient is φ = 391495680.

The previous prime is 1760868467. The next prime is 1760868509. The reversal of 1760868480 is 848680671.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 495510 + ... + 499050.

It is an arithmetic number, because the mean of its divisors is an integer number (25741485).

Almost surely, 2^1760868480 is an apocalyptic number.

1760868480 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 1760868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294910080).

1760868480 is an abundant number, since it is smaller than the sum of its proper divisors (4828951680).

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

1760868480 is a wasteful number, since it uses less digits than its factorization.

1760868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 1760868480 is about 41962.7034400788. The cubic root of 1760868480 is about 1207.5607074829.

The spelling of 1760868480 in words is "one billion, seven hundred sixty million, eight hundred sixty-eight thousand, four hundred eighty".