817935480 has 96 divisors (see below), whose sum is σ = 2670267600. Its totient is φ = 217133568.

The previous prime is 817935479. The next prime is 817935487. The reversal of 817935480 is 84539718.

817935480 is a `hidden beast` number, since 8 + 17 + 93 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817935487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76716 + ... + 86724.

Almost surely, 2^817935480 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 817935480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335133800).

817935480 is an abundant number, since it is smaller than the sum of its proper divisors (1852332120).

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

817935480 is a wasteful number, since it uses less digits than its factorization.

817935480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10253 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 817935480 is about 28599.5713254587. The cubic root of 817935480 is about 935.2039857302.

The spelling of 817935480 in words is "eight hundred seventeen million, nine hundred thirty-five thousand, four hundred eighty".