817919040 has 112 divisors (see below), whose sum is σ = 2667195072. Its totient is φ = 212207616.

The previous prime is 817919029. The next prime is 817919119. The reversal of 817919040 is 40919718.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 817919040.

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, 24007 + ... + 47033.

Almost surely, 2^817919040 is an apocalyptic number.

817919040 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 817919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333597536).

817919040 is an abundant number, since it is smaller than the sum of its proper divisors (1849276032).

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

817919040 is a wasteful number, since it uses less digits than its factorization.

817919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23084 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 817919040 is about 28599.2839071191. The cubic root of 817919040 is about 935.1977200133.

The spelling of 817919040 in words is "eight hundred seventeen million, nine hundred nineteen thousand, forty".