806208480 has 432 divisors, whose sum is σ = 3461264352. Its totient is φ = 167270400.

The previous prime is 806208463. The next prime is 806208499. The reversal of 806208480 is 84802608.

It is a super-3 number, since 3×806208480³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219350 + ... + 1220010.

It is an arithmetic number, because the mean of its divisors is an integer number (8012186).

Almost surely, 2^806208480 is an apocalyptic number.

806208480 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 806208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730632176).

806208480 is an abundant number, since it is smaller than the sum of its proper divisors (2655055872).

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

806208480 is a wasteful number, since it uses less digits than its factorization.

806208480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 806208480 is about 28393.8105931557. The cubic root of 806208480 is about 930.7130154648.

The spelling of 806208480 in words is "eight hundred six million, two hundred eight thousand, four hundred eighty".