756320166 has 80 divisors (see below), whose sum is σ = 1941672480. Its totient is φ = 215550720.

The previous prime is 756320161. The next prime is 756320171. The reversal of 756320166 is 661023657.

756320166 is a `hidden beast` number, since 7 + 5 + 632 + 0 + 16 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (756320161) and next prime (756320171).

It is a self number, because there is not a number n which added to its sum of digits gives 756320166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756320161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 749070 + ... + 750078.

It is an arithmetic number, because the mean of its divisors is an integer number (24270906).

Almost surely, 2^756320166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756320166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970836240).

756320166 is an abundant number, since it is smaller than the sum of its proper divisors (1185352314).

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

756320166 is a wasteful number, since it uses less digits than its factorization.

756320166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 756320166 is about 27501.2757158645. The cubic root of 756320166 is about 911.1052729560.

The spelling of 756320166 in words is "seven hundred fifty-six million, three hundred twenty thousand, one hundred sixty-six".