8227803386880 has 3168 divisors, whose sum is σ = 38964839546880. Its totient is φ = 1555100467200.

The previous prime is 8227803386797. The next prime is 8227803386893. The reversal of 8227803386880 is 886833087228.

8227803386880 is a `hidden beast` number, since 82 + 27 + 80 + 3 + 386 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×8227803386880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64785853377 + ... + 64785853503.

Almost surely, 2^{8227803386880} is an apocalyptic number.

8227803386880 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 8227803386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482419773440).

8227803386880 is an abundant number, since it is smaller than the sum of its proper divisors (30737036160000).

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

8227803386880 is a wasteful number, since it uses less digits than its factorization.

8227803386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 8227803386880 in words is "eight trillion, two hundred twenty-seven billion, eight hundred three million, three hundred eighty-six thousand, eight hundred eighty".