807220128000 has 1152 divisors, whose sum is σ = 3181579075584. Its totient is φ = 178827264000.

The previous prime is 807220127971. The next prime is 807220128019. The reversal of 807220128000 is 821022708.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 1743455769 + ... + 1743456231.

It is an arithmetic number, because the mean of its divisors is an integer number (2761787392).

Almost surely, 2^807220128000 is an apocalyptic number.

807220128000 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 807220128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590789537792).

807220128000 is an abundant number, since it is smaller than the sum of its proper divisors (2374358947584).

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

807220128000 is a wasteful number, since it uses less digits than its factorization.

807220128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 807220128000 in words is "eight hundred seven billion, two hundred twenty million, one hundred twenty-eight thousand".