756896 has 48 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 311040.

The previous prime is 756887. The next prime is 756919. The reversal of 756896 is 698657.

756896 = 141² + 142² + ... + 171².

It is a happy number.

It is an unprimeable number.

756896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6890 + ... + 6998.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁷⁵⁶⁸⁹⁶ 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 756896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

756896 is an abundant number, since it is smaller than the sum of its proper divisors (1017184).

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

756896 is a wasteful number, since it uses less digits than its factorization.

756896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 756896 is about 869.9977011464. The cubic root of 756896 is about 91.1336441503.

The spelling of 756896 in words is "seven hundred fifty-six thousand, eight hundred ninety-six".