819380800 has 168 divisors, whose sum is σ = 2324404800. Its totient is φ = 278476800.

The previous prime is 819380797. The next prime is 819380827. The reversal of 819380800 is 8083918.

It is a self number, because there is not a number n which added to its sum of digits gives 819380800.

It is a congruent number.

It is an unprimeable number.

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, 1668555 + ... + 1669045.

Almost surely, 2^819380800 is an apocalyptic number.

819380800 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 819380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162202400).

819380800 is an abundant number, since it is smaller than the sum of its proper divisors (1505024000).

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

819380800 is a wasteful number, since it uses less digits than its factorization.

819380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 819380800 is about 28624.8283837650. The cubic root of 819380800 is about 935.7545074155.

The spelling of 819380800 in words is "eight hundred nineteen million, three hundred eighty thousand, eight hundred".