808400378880 has 528 divisors, whose sum is σ = 2940434602560. Its totient is φ = 204962267136.

The previous prime is 808400378831. The next prime is 808400378921. The reversal of 808400378880 is 88873004808.

808400378880 is a `hidden beast` number, since 80 + 8 + 400 + 3 + 7 + 88 + 80 = 666.

It is a super-2 number, since 2×808400378880² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 183350116 + ... + 183354524.

Almost surely, 2^808400378880 is an apocalyptic number.

808400378880 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 808400378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470217301280).

808400378880 is an abundant number, since it is smaller than the sum of its proper divisors (2132034223680).

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

808400378880 is a wasteful number, since it uses less digits than its factorization.

808400378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 808400378880 in words is "eight hundred eight billion, four hundred million, three hundred seventy-eight thousand, eight hundred eighty".