756942660 has 72 divisors (see below), whose sum is σ = 2310235200. Its totient is φ = 200605248.

The previous prime is 756942649. The next prime is 756942671. The reversal of 756942660 is 66249657.

756942660 is a `hidden beast` number, since 7 + 569 + 4 + 26 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (756942649) and next prime (756942671).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16441 + ... + 42239.

It is an arithmetic number, because the mean of its divisors is an integer number (32086600).

Almost surely, 2^756942660 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 756942660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155117600).

756942660 is an abundant number, since it is smaller than the sum of its proper divisors (1553292540).

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

756942660 is a wasteful number, since it uses less digits than its factorization.

756942660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25977 (or 25972 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 756942660 is about 27512.5909357879. The cubic root of 756942660 is about 911.3551680231.

The spelling of 756942660 in words is "seven hundred fifty-six million, nine hundred forty-two thousand, six hundred sixty".