816456753 has 40 divisors (see below), whose sum is σ = 1406325888. Its totient is φ = 462381696.

The previous prime is 816456701. The next prime is 816456799. The reversal of 816456753 is 357654618.

816456753 is a `hidden beast` number, since 81 + 6 + 4 + 567 + 5 + 3 = 666.

It is not a de Polignac number, because 816456753 - 2⁸ = 816456497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 816456699 and 816456708.

It is not an unprimeable number, because it can be changed into a prime (816456653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57700 + ... + 70442.

Almost surely, 2^816456753 is an apocalyptic number.

It is an amenable number.

816456753 is a deficient number, since it is larger than the sum of its proper divisors (589869135).

816456753 is a wasteful number, since it uses less digits than its factorization.

816456753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875 (or 12866 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 816456753 is about 28573.7073723379. The cubic root of 816456753 is about 934.6400677383.

The spelling of 816456753 in words is "eight hundred sixteen million, four hundred fifty-six thousand, seven hundred fifty-three".