808980480000 has 2560 divisors, whose sum is σ = 3930841728000. Its totient is φ = 159252480000.

The previous prime is 808980479987. The next prime is 808980480031. The reversal of 808980480000 is 84089808.

808980480000 is a `hidden beast` number, since 80 + 8 + 98 + 0 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42577919991 + ... + 42577920009.

It is an arithmetic number, because the mean of its divisors is an integer number (1535485050).

Almost surely, 2^808980480000 is an apocalyptic number.

808980480000 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 808980480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965420864000).

808980480000 is an abundant number, since it is smaller than the sum of its proper divisors (3121861248000).

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

808980480000 is an equidigital number, since it uses as much as digits as its factorization.

808980480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 808980480000 in words is "eight hundred eight billion, nine hundred eighty million, four hundred eighty thousand".