805086400 has 84 divisors (see below), whose sum is σ = 2049444720. Its totient is φ = 310912000.

The previous prime is 805086397. The next prime is 805086407. The reversal of 805086400 is 4680508.

It is a super-3 number, since 3×805086400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805086407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37725 + ... + 55075.

Almost surely, 2^805086400 is an apocalyptic number.

805086400 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 805086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024722360).

805086400 is an abundant number, since it is smaller than the sum of its proper divisors (1244358320).

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

805086400 is a wasteful number, since it uses less digits than its factorization.

805086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17402 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 805086400 is about 28374.0444773035. The cubic root of 805086400 is about 930.2810265676.

The spelling of 805086400 in words is "eight hundred five million, eighty-six thousand, four hundred".