756976968 has 128 divisors (see below), whose sum is σ = 2313705600. Its totient is φ = 229299840.

The previous prime is 756976963. The next prime is 756976981. The reversal of 756976968 is 869679657.

756976968 is a `hidden beast` number, since 7 + 569 + 7 + 6 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (756976963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286180 + ... + 288812.

It is an arithmetic number, because the mean of its divisors is an integer number (18075825).

Almost surely, 2^756976968 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 756976968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156852800).

756976968 is an abundant number, since it is smaller than the sum of its proper divisors (1556728632).

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

756976968 is a wasteful number, since it uses less digits than its factorization.

756976968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2649 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 756976968 is about 27513.2144250722. The cubic root of 756976968 is about 911.3689367018.

The spelling of 756976968 in words is "seven hundred fifty-six million, nine hundred seventy-six thousand, nine hundred sixty-eight".