819801600 has 240 divisors, whose sum is σ = 2786177328. Its totient is φ = 212336640.

The previous prime is 819801599. The next prime is 819801629. The reversal of 819801600 is 6108918.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1420512 + ... + 1421088.

Almost surely, 2^819801600 is an apocalyptic number.

819801600 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 819801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393088664).

819801600 is an abundant number, since it is smaller than the sum of its proper divisors (1966375728).

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

819801600 is a wasteful number, since it uses less digits than its factorization.

819801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 819801600 is about 28632.1777027176. The cubic root of 819801600 is about 935.9146682381.

The spelling of 819801600 in words is "eight hundred nineteen million, eight hundred one thousand, six hundred".