806040600 has 192 divisors, whose sum is σ = 2586263040. Its totient is φ = 207552000.

The previous prime is 806040581. The next prime is 806040623. The reversal of 806040600 is 6040608.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848059 + ... + 2848341.

It is an arithmetic number, because the mean of its divisors is an integer number (13470120).

Almost surely, 2^806040600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293131520).

806040600 is an abundant number, since it is smaller than the sum of its proper divisors (1780222440).

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

806040600 is a wasteful number, since it uses less digits than its factorization.

806040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 806040600 is about 28390.8541611555. The cubic root of 806040600 is about 930.6484089552.

The spelling of 806040600 in words is "eight hundred six million, forty thousand, six hundred".