806270400 has 504 divisors, whose sum is σ = 3181410960. Its totient is φ = 192430080.

The previous prime is 806270393. The next prime is 806270411. The reversal of 806270400 is 4072608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11044764 + ... + 11044836.

Almost surely, 2^806270400 is an apocalyptic number.

806270400 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 806270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590705480).

806270400 is an abundant number, since it is smaller than the sum of its proper divisors (2375140560).

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

806270400 is a wasteful number, since it uses less digits than its factorization.

806270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 806270400 is about 28394.9009506989. The cubic root of 806270400 is about 930.7368423350.

The spelling of 806270400 in words is "eight hundred six million, two hundred seventy thousand, four hundred".