800085956400 has 960 divisors, whose sum is σ = 3010665082880. Its totient is φ = 204073344000.

The previous prime is 800085956399. The next prime is 800085956437. The reversal of 800085956400 is 4659580008.

800085956400 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 85 + 9 + 564 + 0 + 0 = 666.

800085956400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4420364310 + ... + 4420364490.

Almost surely, 2^800085956400 is an apocalyptic number.

800085956400 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 800085956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505332541440).

800085956400 is an abundant number, since it is smaller than the sum of its proper divisors (2210579126480).

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

800085956400 is a wasteful number, since it uses less digits than its factorization.

800085956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 800085956400 in words is "eight hundred billion, eighty-five million, nine hundred fifty-six thousand, four hundred".