806301600 has 288 divisors, whose sum is σ = 2896939584. Its totient is φ = 193536000.

The previous prime is 806301577. The next prime is 806301649. The reversal of 806301600 is 6103608.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341300 + ... + 1341900.

It is an arithmetic number, because the mean of its divisors is an integer number (10058818).

Almost surely, 2^806301600 is an apocalyptic number.

806301600 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 806301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448469792).

806301600 is an abundant number, since it is smaller than the sum of its proper divisors (2090637984).

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

806301600 is a wasteful number, since it uses less digits than its factorization.

806301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 806301600 is about 28395.4503397992. The cubic root of 806301600 is about 930.7488476602.

The spelling of 806301600 in words is "eight hundred six million, three hundred one thousand, six hundred".