756912 has 40 divisors (see below), whose sum is σ = 2107504. Its totient is φ = 232704.

The previous prime is 756887. The next prime is 756919. The reversal of 756912 is 219657.

It is a self number, because there is not a number n which added to its sum of digits gives 756912.

It is not an unprimeable number, because it can be changed into a prime (756919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 1230.

2⁷⁵⁶⁹¹² 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 756912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053752).

756912 is an abundant number, since it is smaller than the sum of its proper divisors (1350592).

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

756912 is a wasteful number, since it uses less digits than its factorization.

756912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 756912 is about 870.0068965244. The cubic root of 756912 is about 91.1342863028.

It can be divided in two parts, 75 and 6912, that multiplied together give a square (518400 = 720²).

The spelling of 756912 in words is "seven hundred fifty-six thousand, nine hundred twelve".