817230816 has 96 divisors (see below), whose sum is σ = 2388960000. Its totient is φ = 271797120.

The previous prime is 817230811. The next prime is 817230823. The reversal of 817230816 is 618032718.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817230811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544435 + ... + 545933.

It is an arithmetic number, because the mean of its divisors is an integer number (24885000).

Almost surely, 2^817230816 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 817230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480000).

817230816 is an abundant number, since it is smaller than the sum of its proper divisors (1571729184).

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

817230816 is a wasteful number, since it uses less digits than its factorization.

817230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 817230816 is about 28587.2491856072. The cubic root of 817230816 is about 934.9353443619.

The spelling of 817230816 in words is "eight hundred seventeen million, two hundred thirty thousand, eight hundred sixteen".