816448320 has 84 divisors (see below), whose sum is σ = 2808251940. Its totient is φ = 217718784.

The previous prime is 816448277. The next prime is 816448337. The reversal of 816448320 is 23844618.

816448320 is a `hidden beast` number, since 8 + 1 + 644 + 8 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 431974656 = 19608^2 + 20784^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138865 + ... + 144624.

Almost surely, 2^816448320 is an apocalyptic number.

816448320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816448320 is an abundant number, since it is smaller than the sum of its proper divisors (1991803620).

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

816448320 is a wasteful number, since it uses less digits than its factorization.

816448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283512 (or 283499 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 816448320 is about 28573.5598062265. The cubic root of 816448320 is about 934.6368498308.

The spelling of 816448320 in words is "eight hundred sixteen million, four hundred forty-eight thousand, three hundred twenty".