816756432 has 80 divisors (see below), whose sum is σ = 2238606720. Its totient is φ = 255717376.

The previous prime is 816756403. The next prime is 816756443. The reversal of 816756432 is 234657618.

816756432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684028 + ... + 685220.

It is an arithmetic number, because the mean of its divisors is an integer number (27982584).

Almost surely, 2^816756432 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 816756432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119303360).

816756432 is an abundant number, since it is smaller than the sum of its proper divisors (1421850288).

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

816756432 is a wasteful number, since it uses less digits than its factorization.

816756432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 816756432 is about 28578.9508554810. The cubic root of 816756432 is about 934.7544064087.

The spelling of 816756432 in words is "eight hundred sixteen million, seven hundred fifty-six thousand, four hundred thirty-two".