808007640000 has 560 divisors, whose sum is σ = 2925029390976. Its totient is φ = 195161600000.

The previous prime is 808007639969. The next prime is 808007640017. The reversal of 808007640000 is 46700808.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 79 ways as a sum of consecutive naturals, for example, 418439035 + ... + 418440965.

Almost surely, 2^808007640000 is an apocalyptic number.

808007640000 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 808007640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462514695488).

808007640000 is an abundant number, since it is smaller than the sum of its proper divisors (2117021750976).

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

808007640000 is a wasteful number, since it uses less digits than its factorization.

808007640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 808007640000 in words is "eight hundred eight billion, seven million, six hundred forty thousand".