817265904 has 120 divisors (see below), whose sum is σ = 2644986960. Its totient is φ = 215534592.

The previous prime is 817265903. The next prime is 817265951. The reversal of 817265904 is 409562718.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817265903) 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, 17212 + ... + 43940.

It is an arithmetic number, because the mean of its divisors is an integer number (22041558).

Almost surely, 2^817265904 is an apocalyptic number.

817265904 is a gapful number since it is divisible by the number (84) 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 817265904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322493480).

817265904 is an abundant number, since it is smaller than the sum of its proper divisors (1827721056).

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

817265904 is a wasteful number, since it uses less digits than its factorization.

817265904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26767 (or 26754 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 817265904 is about 28587.8628792010. The cubic root of 817265904 is about 934.9487247278.

The spelling of 817265904 in words is "eight hundred seventeen million, two hundred sixty-five thousand, nine hundred four".