806315212800 has 540 divisors, whose sum is σ = 2995656392456. Its totient is φ = 214990848000.

The previous prime is 806315212783. The next prime is 806315212831. The reversal of 806315212800 is 8212513608.

It is a happy number.

806315212800 is a `hidden beast` number, since 8 + 0 + 631 + 5 + 2 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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, 99528750 + ... + 99536850.

Almost surely, 2^806315212800 is an apocalyptic number.

806315212800 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 806315212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497828196228).

806315212800 is an abundant number, since it is smaller than the sum of its proper divisors (2189341179656).

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

806315212800 is an frugal number, since it uses more digits than its factorization.

806315212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 806315212800 in words is "eight hundred six billion, three hundred fifteen million, two hundred twelve thousand, eight hundred".