756980064 has 72 divisors (see below), whose sum is σ = 2265976440. Its totient is φ = 239044608.

The previous prime is 756980057. The next prime is 756980087. The reversal of 756980064 is 460089657.

756980064 is a `hidden beast` number, since 7 + 569 + 80 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63697 + ... + 74640.

It is an arithmetic number, because the mean of its divisors is an integer number (31471895).

Almost surely, 2^756980064 is an apocalyptic number.

It is an amenable number.

756980064 is an abundant number, since it is smaller than the sum of its proper divisors (1508996376).

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

756980064 is a wasteful number, since it uses less digits than its factorization.

756980064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138372 (or 138361 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 756980064 is about 27513.2706888876. The cubic root of 756980064 is about 911.3701791854.

The spelling of 756980064 in words is "seven hundred fifty-six million, nine hundred eighty thousand, sixty-four".