758248960 has 320 divisors, whose sum is σ = 2333422080. Its totient is φ = 230031360.

The previous prime is 758248951. The next prime is 758248961. The reversal of 758248960 is 69842857.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (758248961) by changing a digit.

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, 5788095 + ... + 5788225.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2^758248960 is an apocalyptic number.

758248960 is a gapful number since it is divisible by the number (70) 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 758248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

758248960 is an abundant number, since it is smaller than the sum of its proper divisors (1575173120).

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

758248960 is a wasteful number, since it uses less digits than its factorization.

758248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 758248960 is about 27536.3207418856. The cubic root of 758248960 is about 911.8791262807.

The spelling of 758248960 in words is "seven hundred fifty-eight million, two hundred forty-eight thousand, nine hundred sixty".