800729280512000 has 1536 divisors, whose sum is σ = 2454489170640000. Its totient is φ = 259515639398400.

The previous prime is 800729280511999. The next prime is 800729280512011. The reversal of 800729280512000 is 215082927008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410841087026 + ... + 410841088974.

Almost surely, 2^{800729280512000} is an apocalyptic number.

800729280512000 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 800729280512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227244585320000).

800729280512000 is an abundant number, since it is smaller than the sum of its proper divisors (1653759890128000).

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

800729280512000 is an equidigital number, since it uses as much as digits as its factorization.

800729280512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 800729280512000 in words is "eight hundred trillion, seven hundred twenty-nine billion, two hundred eighty million, five hundred twelve thousand".