756120080 has 20 divisors (see below), whose sum is σ = 1757979372. Its totient is φ = 302448000.

The previous prime is 756120061. The next prime is 756120083. The reversal of 756120080 is 80021657.

It can be written as a sum of positive squares in 2 ways, for example, as 595945744 + 160174336 = 24412^2 + 12656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (756120083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4725671 + ... + 4725830.

Almost surely, 2^756120080 is an apocalyptic number.

It is an amenable number.

756120080 is an abundant number, since it is smaller than the sum of its proper divisors (1001859292).

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

756120080 is a wasteful number, since it uses less digits than its factorization.

756120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451514 (or 9451508 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 756120080 is about 27497.6377167203. The cubic root of 756120080 is about 911.0249209674.

The spelling of 756120080 in words is "seven hundred fifty-six million, one hundred twenty thousand, eighty".