808007270400 has 1536 divisors, whose sum is σ = 3358453795200. Its totient is φ = 191102976000.

The previous prime is 808007270297. The next prime is 808007270431. The reversal of 808007270400 is 4072700808.

It is a tau number, because it is divible by the number of its divisors (1536).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19707494380 + ... + 19707494420.

Almost surely, 2^808007270400 is an apocalyptic number.

808007270400 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 808007270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679226897600).

808007270400 is an abundant number, since it is smaller than the sum of its proper divisors (2550446524800).

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

808007270400 is an frugal number, since it uses more digits than its factorization.

808007270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 808007270400 in words is "eight hundred eight billion, seven million, two hundred seventy thousand, four hundred".