816395300 has 72 divisors (see below), whose sum is σ = 2028411840. Its totient is φ = 279388800.

The previous prime is 816395299. The next prime is 816395303. The reversal of 816395300 is 3593618.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (816395303) 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 23 ways as a sum of consecutive naturals, for example, 747755 + ... + 748845.

Almost surely, 2^816395300 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 816395300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014205920).

816395300 is an abundant number, since it is smaller than the sum of its proper divisors (1212016540).

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

816395300 is a wasteful number, since it uses less digits than its factorization.

816395300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 816395300 is about 28572.6320103696. The cubic root of 816395300 is about 934.6166176792.

The spelling of 816395300 in words is "eight hundred sixteen million, three hundred ninety-five thousand, three hundred".