1930080768 has 160 divisors (see below), whose sum is σ = 6411018240. Its totient is φ = 501288960.

The previous prime is 1930080751. The next prime is 1930080773. The reversal of 1930080768 is 8670800391.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 110113 + ... + 126431.

It is an arithmetic number, because the mean of its divisors is an integer number (40068864).

Almost surely, 2^1930080768 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 1930080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205509120).

1930080768 is an abundant number, since it is smaller than the sum of its proper divisors (4480937472).

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

1930080768 is a wasteful number, since it uses less digits than its factorization.

1930080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1930080768 is about 43932.6845070956. The cubic root of 1930080768 is about 1245.0644349806.

The spelling of 1930080768 in words is "one billion, nine hundred thirty million, eighty thousand, seven hundred sixty-eight".