756968352 has 48 divisors (see below), whose sum is σ = 2270907072. Its totient is φ = 216276480.

The previous prime is 756968347. The next prime is 756968357. The reversal of 756968352 is 253869657.

It is a happy number.

756968352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (756968347) and next prime (756968357).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 756968295 and 756968304.

It is not an unprimeable number, because it can be changed into a prime (756968357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562549 + ... + 563892.

It is an arithmetic number, because the mean of its divisors is an integer number (47310564).

Almost surely, 2^756968352 is an apocalyptic number.

It is an amenable number.

756968352 is an abundant number, since it is smaller than the sum of its proper divisors (1513938720).

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

756968352 is a wasteful number, since it uses less digits than its factorization.

756968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126461 (or 1126453 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 756968352 is about 27513.0578453214. The cubic root of 756968352 is about 911.3654789195.

It can be divided in two parts, 75696 and 8352, that added together give a palindrome (84048).

The spelling of 756968352 in words is "seven hundred fifty-six million, nine hundred sixty-eight thousand, three hundred fifty-two".