808025080800 has 576 divisors, whose sum is σ = 3129807679488. Its totient is φ = 177223680000.

The previous prime is 808025080787. The next prime is 808025080801. The reversal of 808025080800 is 8080520808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808025080801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42007185 + ... + 42026415.

It is an arithmetic number, because the mean of its divisors is an integer number (5433693888).

Almost surely, 2^808025080800 is an apocalyptic number.

808025080800 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 808025080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564903839744).

808025080800 is an abundant number, since it is smaller than the sum of its proper divisors (2321782598688).

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

808025080800 is a wasteful number, since it uses less digits than its factorization.

808025080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19363 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 808025080800 in words is "eight hundred eight billion, twenty-five million, eighty thousand, eight hundred".