806406720 has 448 divisors, whose sum is σ = 3121152000. Its totient is φ = 176117760.

The previous prime is 806406719. The next prime is 806406739. The reversal of 806406720 is 27604608.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×806406720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 10207641 + ... + 10207719.

Almost surely, 2^806406720 is an apocalyptic number.

806406720 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 806406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560576000).

806406720 is an abundant number, since it is smaller than the sum of its proper divisors (2314745280).

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

806406720 is a wasteful number, since it uses less digits than its factorization.

806406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 806406720 is about 28397.3012802273. The cubic root of 806406720 is about 930.7892940917.

The spelling of 806406720 in words is "eight hundred six million, four hundred six thousand, seven hundred twenty".