820908480 has 224 divisors, whose sum is σ = 3002158080. Its totient is φ = 186163200.

The previous prime is 820908469. The next prime is 820908493. The reversal of 820908480 is 84809028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014316 + ... + 1015124.

Almost surely, 2^820908480 is an apocalyptic number.

820908480 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 820908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501079040).

820908480 is an abundant number, since it is smaller than the sum of its proper divisors (2181249600).

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

820908480 is a wasteful number, since it uses less digits than its factorization.

820908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 820908480 is about 28651.5004842678. The cubic root of 820908480 is about 936.3356966673.

The spelling of 820908480 in words is "eight hundred twenty million, nine hundred eight thousand, four hundred eighty".