806216294400 has 336 divisors, whose sum is σ = 2908088923968. Its totient is φ = 195444736000.

The previous prime is 806216294369. The next prime is 806216294447. The reversal of 806216294400 is 4492612608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6698755 + ... + 6818045.

Almost surely, 2^806216294400 is an apocalyptic number.

806216294400 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 806216294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454044461984).

806216294400 is an abundant number, since it is smaller than the sum of its proper divisors (2101872629568).

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

806216294400 is a wasteful number, since it uses less digits than its factorization.

806216294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119341 (or 119312 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 806216294400 in words is "eight hundred six billion, two hundred sixteen million, two hundred ninety-four thousand, four hundred".