814800000 has 384 divisors, whose sum is σ = 3123550080. Its totient is φ = 184320000.

The previous prime is 814799981. The next prime is 814800023. The reversal of 814800000 is 8418.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 814800000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399952 + ... + 8400048.

It is an arithmetic number, because the mean of its divisors is an integer number (8134245).

Almost surely, 2^814800000 is an apocalyptic number.

814800000 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 814800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561775040).

814800000 is an abundant number, since it is smaller than the sum of its proper divisors (2308750080).

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

814800000 is an frugal number, since it uses more digits than its factorization.

814800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 814800000 is about 28544.7017850949. The cubic root of 814800000 is about 934.0074494986.

Adding to 814800000 its reverse (8418), we get a palindrome (814808418).

The spelling of 814800000 in words is "eight hundred fourteen million, eight hundred thousand".