806198400 has 768 divisors, whose sum is σ = 3561676800. Its totient is φ = 174182400.

The previous prime is 806198399. The next prime is 806198417. The reversal of 806198400 is 4891608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18748779 + ... + 18748821.

It is an arithmetic number, because the mean of its divisors is an integer number (4637600).

Almost surely, 2^806198400 is an apocalyptic number.

806198400 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 806198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780838400).

806198400 is an abundant number, since it is smaller than the sum of its proper divisors (2755478400).

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

806198400 is a wasteful number, since it uses less digits than its factorization.

806198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 806198400 is about 28393.6330891276. The cubic root of 806198400 is about 930.7091365565.

The spelling of 806198400 in words is "eight hundred six million, one hundred ninety-eight thousand, four hundred".