816444800 has 96 divisors (see below), whose sum is σ = 2104753680. Its totient is φ = 312350720.

The previous prime is 816444791. The next prime is 816444809. The reversal of 816444800 is 8444618.

It is an interprime number because it is at equal distance from previous prime (816444791) and next prime (816444809).

It is a super-2 number, since 2×816444800² = 1333164222894080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816444809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68054 + ... + 79146.

Almost surely, 2^816444800 is an apocalyptic number.

816444800 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 816444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052376840).

816444800 is an abundant number, since it is smaller than the sum of its proper divisors (1288308880).

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

816444800 is a wasteful number, since it uses less digits than its factorization.

816444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 816444800 is about 28573.4982107547. The cubic root of 816444800 is about 934.6355066446.

The spelling of 816444800 in words is "eight hundred sixteen million, four hundred forty-four thousand, eight hundred".