816564800 has 168 divisors, whose sum is σ = 2107460352. Its totient is φ = 311040000.

The previous prime is 816564773. The next prime is 816564811. The reversal of 816564800 is 8465618.

It is a super-3 number, since 3×816564800³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5009519 + ... + 5009681.

Almost surely, 2^816564800 is an apocalyptic number.

816564800 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 816564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053730176).

816564800 is an abundant number, since it is smaller than the sum of its proper divisors (1290895552).

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

816564800 is a wasteful number, since it uses less digits than its factorization.

816564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 816564800 is about 28575.5979814946. The cubic root of 816564800 is about 934.6812949070.

The spelling of 816564800 in words is "eight hundred sixteen million, five hundred sixty-four thousand, eight hundred".