817873040 has 20 divisors (see below), whose sum is σ = 1901555004. Its totient is φ = 327149184.

The previous prime is 817873037. The next prime is 817873061. The reversal of 817873040 is 40378718.

It can be written as a sum of positive squares in 2 ways, for example, as 164968336 + 652904704 = 12844^2 + 25552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 817872985 and 817873003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5111627 + ... + 5111786.

Almost surely, 2^817873040 is an apocalyptic number.

817873040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

817873040 is an abundant number, since it is smaller than the sum of its proper divisors (1083681964).

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

817873040 is a wasteful number, since it uses less digits than its factorization.

817873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223426 (or 10223420 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 817873040 is about 28598.4796798711. The cubic root of 817873040 is about 935.1801877558.

It can be divided in two parts, 8178 and 73040, that added together give a palindrome (81218).

The spelling of 817873040 in words is "eight hundred seventeen million, eight hundred seventy-three thousand, forty".