756976 has 60 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 309760.

The previous prime is 756971. The next prime is 757019. The reversal of 756976 is 679657.

756976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (79380) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32901 + ... + 32923.

2⁷⁵⁶⁹⁷⁶ 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 756976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

756976 is an abundant number, since it is smaller than the sum of its proper divisors (1024160).

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

756976 is a wasteful number, since it uses less digits than its factorization.

756976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its digits is 79380, while the sum is 40.

The square root of 756976 is about 870.0436770645. The cubic root of 756976 is about 91.1368548224.

The spelling of 756976 in words is "seven hundred fifty-six thousand, nine hundred seventy-six".