817356540 has 384 divisors, whose sum is σ = 3179151360. Its totient is φ = 151372800.

The previous prime is 817356521. The next prime is 817356541. The reversal of 817356540 is 45653718.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817356541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1861641 + ... + 1862079.

It is an arithmetic number, because the mean of its divisors is an integer number (8279040).

Almost surely, 2^817356540 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 817356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589575680).

817356540 is an abundant number, since it is smaller than the sum of its proper divisors (2361794820).

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

817356540 is a wasteful number, since it uses less digits than its factorization.

817356540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 817356540 is about 28589.4480534340. The cubic root of 817356540 is about 934.9832858499.

The spelling of 817356540 in words is "eight hundred seventeen million, three hundred fifty-six thousand, five hundred forty".