814800096 has 144 divisors (see below), whose sum is σ = 2538926208. Its totient is φ = 245817600.

The previous prime is 814800083. The next prime is 814800109. The reversal of 814800096 is 690008418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (814800083) and next prime (814800109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814800096.

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, 984835 + ... + 985661.

It is an arithmetic number, because the mean of its divisors is an integer number (17631432).

Almost surely, 2^814800096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269463104).

814800096 is an abundant number, since it is smaller than the sum of its proper divisors (1724126112).

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

814800096 is a wasteful number, since it uses less digits than its factorization.

814800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 814800096 is about 28544.7034666679. The cubic root of 814800096 is about 934.0074861803.

The spelling of 814800096 in words is "eight hundred fourteen million, eight hundred thousand, ninety-six".