806326560 has 288 divisors, whose sum is σ = 3120586560. Its totient is φ = 187951104.

The previous prime is 806326559. The next prime is 806326603. The reversal of 806326560 is 65623608.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×806326560² = 1300325042722867200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 354547 + ... + 356813.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 2^806326560 is an apocalyptic number.

806326560 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 806326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560293280).

806326560 is an abundant number, since it is smaller than the sum of its proper divisors (2314260000).

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

806326560 is a wasteful number, since it uses less digits than its factorization.

806326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 806326560 is about 28395.8898434263. The cubic root of 806326560 is about 930.7584516973.

The spelling of 806326560 in words is "eight hundred six million, three hundred twenty-six thousand, five hundred sixty".