808542000 has 800 divisors, whose sum is σ = 3595198464. Its totient is φ = 171072000.

The previous prime is 808541999. The next prime is 808542061. The reversal of 808542000 is 245808.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 26081985 + ... + 26082015.

Almost surely, 2^808542000 is an apocalyptic number.

808542000 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 808542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797599232).

808542000 is an abundant number, since it is smaller than the sum of its proper divisors (2786656464).

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

808542000 is a wasteful number, since it uses less digits than its factorization.

808542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 808542000 is about 28434.8729555804. The cubic root of 808542000 is about 931.6101140180.

Adding to 808542000 its reverse (245808), we get a palindrome (808787808).

The spelling of 808542000 in words is "eight hundred eight million, five hundred forty-two thousand".