816376320 has 400 divisors, whose sum is σ = 3042091008. Its totient is φ = 209018880.

The previous prime is 816376291. The next prime is 816376343. The reversal of 816376320 is 23673618.

It is a happy number.

816376320 is a `hidden beast` number, since 8 + 16 + 3 + 7 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6428097 + ... + 6428223.

Almost surely, 2^816376320 is an apocalyptic number.

816376320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521045504).

816376320 is an abundant number, since it is smaller than the sum of its proper divisors (2225714688).

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

816376320 is a wasteful number, since it uses less digits than its factorization.

816376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 816376320 is about 28572.2998724289. The cubic root of 816376320 is about 934.6093747987.

The spelling of 816376320 in words is "eight hundred sixteen million, three hundred seventy-six thousand, three hundred twenty".