816300288 has 144 divisors (see below), whose sum is σ = 2556308160. Its totient is φ = 256057344.

The previous prime is 816300263. The next prime is 816300301. The reversal of 816300288 is 882003618.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114031 + ... + 120977.

It is an arithmetic number, because the mean of its divisors is an integer number (17752140).

Almost surely, 2^816300288 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 816300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278154080).

816300288 is an abundant number, since it is smaller than the sum of its proper divisors (1740007872).

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

816300288 is a wasteful number, since it uses less digits than its factorization.

816300288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 816300288 is about 28570.9693220234. The cubic root of 816300288 is about 934.5803594111.

The spelling of 816300288 in words is "eight hundred sixteen million, three hundred thousand, two hundred eighty-eight".