816424704 has 144 divisors (see below), whose sum is σ = 2498176800. Its totient is φ = 262692864.

The previous prime is 816424691. The next prime is 816424771. The reversal of 816424704 is 407424618.

816424704 is a `hidden beast` number, since 8 + 1 + 642 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198412 + ... + 202484.

It is an arithmetic number, because the mean of its divisors is an integer number (17348450).

Almost surely, 2^816424704 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 816424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249088400).

816424704 is an abundant number, since it is smaller than the sum of its proper divisors (1681752096).

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

816424704 is a wasteful number, since it uses less digits than its factorization.

816424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 816424704 is about 28573.1465540637. The cubic root of 816424704 is about 934.6278381983.

The spelling of 816424704 in words is "eight hundred sixteen million, four hundred twenty-four thousand, seven hundred four".