756808 has 32 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 330048.

The previous prime is 756799. The next prime is 756829. The reversal of 756808 is 808657.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785 + ... + 2167.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁷⁵⁶⁸⁰⁸ 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 756808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

756808 is an abundant number, since it is smaller than the sum of its proper divisors (855992).

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

756808 is a wasteful number, since it uses less digits than its factorization.

756808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 756808 is about 869.9471248300. The cubic root of 756808 is about 91.1301121496.

The spelling of 756808 in words is "seven hundred fifty-six thousand, eight hundred eight".