756416 has 28 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 369408.

The previous prime is 756403. The next prime is 756419. The reversal of 756416 is 614657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756419) by changing a digit.

756416 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 3 ways as a sum of consecutive naturals, for example, 3281 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

2⁷⁵⁶⁴¹⁶ 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 756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

756416 is an abundant number, since it is smaller than the sum of its proper divisors (779776).

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

756416 is a wasteful number, since it uses less digits than its factorization.

756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 756416 is about 869.7217945987. The cubic root of 756416 is about 91.1143753650.

The spelling of 756416 in words is "seven hundred fifty-six thousand, four hundred sixteen".