816349200 has 60 divisors (see below), whose sum is σ = 2615042448. Its totient is φ = 217692800.

The previous prime is 816349199. The next prime is 816349201. The reversal of 816349200 is 2943618.

It is an interprime number because it is at equal distance from previous prime (816349199) and next prime (816349201).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (816349201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338946 + ... + 341345.

Almost surely, 2^816349200 is an apocalyptic number.

816349200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816349200 is an abundant number, since it is smaller than the sum of its proper divisors (1798693248).

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

816349200 is a wasteful number, since it uses less digits than its factorization.

816349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680312 (or 680301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 816349200 is about 28571.8252829601. The cubic root of 816349200 is about 934.5990254511.

The spelling of 816349200 in words is "eight hundred sixteen million, three hundred forty-nine thousand, two hundred".