806288480 has 24 divisors (see below), whose sum is σ = 1904856912. Its totient is φ = 322515328.

The previous prime is 806288473. The next prime is 806288489. The reversal of 806288480 is 84882608.

It is a super-2 number, since 2×806288480² = 1300202225961420800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806288489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2519492 + ... + 2519811.

It is an arithmetic number, because the mean of its divisors is an integer number (79369038).

Almost surely, 2^806288480 is an apocalyptic number.

806288480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806288480 is an abundant number, since it is smaller than the sum of its proper divisors (1098568432).

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

806288480 is a wasteful number, since it uses less digits than its factorization.

806288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039318 (or 5039310 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 806288480 is about 28395.2193159342. The cubic root of 806288480 is about 930.7437993048.

The spelling of 806288480 in words is "eight hundred six million, two hundred eighty-eight thousand, four hundred eighty".