806463360 has 192 divisors, whose sum is σ = 2931786000. Its totient is φ = 203710464.

The previous prime is 806463319. The next prime is 806463377. The reversal of 806463360 is 63364608.

806463360 is a `hidden beast` number, since 8 + 0 + 646 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 105756 + ... + 113124.

Almost surely, 2^806463360 is an apocalyptic number.

806463360 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 806463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465893000).

806463360 is an abundant number, since it is smaller than the sum of its proper divisors (2125322640).

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

806463360 is a wasteful number, since it uses less digits than its factorization.

806463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 806463360 is about 28398.2985405816. The cubic root of 806463360 is about 930.8110856889.

It can be divided in two parts, 806 and 463360, that added together give a triangular number (464166 = T₉₆₃).

The spelling of 806463360 in words is "eight hundred six million, four hundred sixty-three thousand, three hundred sixty".