819201600 has 756 divisors, whose sum is σ = 3594134544. Its totient is φ = 182891520.

The previous prime is 819201583. The next prime is 819201601. The reversal of 819201600 is 6102918.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×819201600² = 1342182522885120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (819201601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051179 + ... + 19051221.

Almost surely, 2^819201600 is an apocalyptic number.

819201600 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 819201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797067272).

819201600 is an abundant number, since it is smaller than the sum of its proper divisors (2774932944).

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

819201600 is a wasteful number, since it uses less digits than its factorization.

819201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 819201600 is about 28621.6980628334. The cubic root of 819201600 is about 935.6862853981.

The spelling of 819201600 in words is "eight hundred nineteen million, two hundred one thousand, six hundred".