818808480 has 192 divisors, whose sum is σ = 3275354880. Its totient is φ = 187149312.

The previous prime is 818808457. The next prime is 818808493. The reversal of 818808480 is 84808818.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16702 + ... + 43778.

It is an arithmetic number, because the mean of its divisors is an integer number (17059140).

Almost surely, 2^818808480 is an apocalyptic number.

818808480 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 818808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637677440).

818808480 is an abundant number, since it is smaller than the sum of its proper divisors (2456546400).

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

818808480 is a wasteful number, since it uses less digits than its factorization.

818808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27108 (or 27094 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 818808480 is about 28614.8297216671. The cubic root of 818808480 is about 935.5365884868.

The spelling of 818808480 in words is "eight hundred eighteen million, eight hundred eight thousand, four hundred eighty".