806138480 has 160 divisors (see below), whose sum is σ = 2209037184. Its totient is φ = 267890688.

The previous prime is 806138447. The next prime is 806138507. The reversal of 806138480 is 84831608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4659674 + ... + 4659846.

Almost surely, 2^806138480 is an apocalyptic number.

806138480 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 806138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104518592).

806138480 is an abundant number, since it is smaller than the sum of its proper divisors (1402898704).

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

806138480 is a wasteful number, since it uses less digits than its factorization.

806138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 806138480 is about 28392.5779033888. The cubic root of 806138480 is about 930.6860779342.

The spelling of 806138480 in words is "eight hundred six million, one hundred thirty-eight thousand, four hundred eighty".