816796800 has 288 divisors, whose sum is σ = 2959632000. Its totient is φ = 214456320.

The previous prime is 816796777. The next prime is 816796823. The reversal of 816796800 is 8697618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816796777) and next prime (816796823).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2275021 + ... + 2275379.

It is an arithmetic number, because the mean of its divisors is an integer number (10276500).

Almost surely, 2^816796800 is an apocalyptic number.

816796800 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 816796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

816796800 is an abundant number, since it is smaller than the sum of its proper divisors (2142835200).

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

816796800 is a wasteful number, since it uses less digits than its factorization.

816796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 816796800 is about 28579.6571008121. The cubic root of 816796800 is about 934.7698061626.

The spelling of 816796800 in words is "eight hundred sixteen million, seven hundred ninety-six thousand, eight hundred".