760189968 has 80 divisors (see below), whose sum is σ = 2186695360. Its totient is φ = 252854784.

The previous prime is 760189957. The next prime is 760190009. The reversal of 760189968 is 869981067.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 234696 + ... + 237912.

It is an arithmetic number, because the mean of its divisors is an integer number (27333692).

Almost surely, 2^760189968 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 760189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093347680).

760189968 is an abundant number, since it is smaller than the sum of its proper divisors (1426505392).

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

760189968 is a wasteful number, since it uses less digits than its factorization.

760189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 760189968 is about 27571.5427207111. The cubic root of 760189968 is about 912.6565563122.

The spelling of 760189968 in words is "seven hundred sixty million, one hundred eighty-nine thousand, nine hundred sixty-eight".