808980480 has 832 divisors, whose sum is σ = 3774412800. Its totient is φ = 159252480.

The previous prime is 808980467. The next prime is 808980503. The reversal of 808980480 is 84089808.

808980480 is a `hidden beast` number, since 80 + 8 + 98 + 0 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577911 + ... + 42577929.

Almost surely, 2^808980480 is an apocalyptic number.

808980480 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 808980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887206400).

808980480 is an abundant number, since it is smaller than the sum of its proper divisors (2965432320).

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

808980480 is a wasteful number, since it uses less digits than its factorization.

808980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

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

The square root of 808980480 is about 28442.5821612596. The cubic root of 808980480 is about 931.7784905863.

The spelling of 808980480 in words is "eight hundred eight million, nine hundred eighty thousand, four hundred eighty".