806400000 has 468 divisors, whose sum is σ = 3327380784. Its totient is φ = 184320000.

The previous prime is 806399983. The next prime is 806400017. The reversal of 806400000 is 4608.

It is an interprime number because it is at equal distance from previous prime (806399983) and next prime (806400017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115199997 + ... + 115200003.

It is an arithmetic number, because the mean of its divisors is an integer number (7109788).

Almost surely, 2^806400000 is an apocalyptic number.

806400000 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 806400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663690392).

806400000 is an abundant number, since it is smaller than the sum of its proper divisors (2520980784).

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

806400000 is an frugal number, since it uses more digits than its factorization.

806400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 806400000 is about 28397.1829588782. The cubic root of 806400000 is about 930.7867085802.

Adding to 806400000 its reverse (4608), we get a palindrome (806404608).

It can be divided in two parts, 80 and 6400000, that multiplied together give a cube (512000000 = 800³).

The spelling of 806400000 in words is "eight hundred six million, four hundred thousand".