806465520 has 180 divisors, whose sum is σ = 3150702360. Its totient is φ = 184326912.

The previous prime is 806465509. The next prime is 806465549. The reversal of 806465520 is 25564608.

806465520 is a `hidden beast` number, since 8 + 0 + 646 + 5 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 23851 + ... + 46709.

It is an arithmetic number, because the mean of its divisors is an integer number (17503902).

Almost surely, 2^806465520 is an apocalyptic number.

806465520 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 806465520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575351180).

806465520 is an abundant number, since it is smaller than the sum of its proper divisors (2344236840).

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

806465520 is a wasteful number, since it uses less digits than its factorization.

806465520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22892 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 806465520 is about 28398.3365710036. The cubic root of 806465520 is about 930.8119167042.

The spelling of 806465520 in words is "eight hundred six million, four hundred sixty-five thousand, five hundred twenty".