756551680 has 208 divisors, whose sum is σ = 2006336304. Its totient is φ = 272629760.

The previous prime is 756551659. The next prime is 756551689. The reversal of 756551680 is 86155657.

It can be written as a sum of positive squares in 8 ways, for example, as 6230016 + 750321664 = 2496^2 + 27392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756551689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14274534 + ... + 14274586.

Almost surely, 2^756551680 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 756551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003168152).

756551680 is an abundant number, since it is smaller than the sum of its proper divisors (1249784624).

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

756551680 is a wasteful number, since it uses less digits than its factorization.

756551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 756551680 is about 27505.4845439959. The cubic root of 756551680 is about 911.1982283456.

The spelling of 756551680 in words is "seven hundred fifty-six million, five hundred fifty-one thousand, six hundred eighty".