808356900 has 144 divisors (see below), whose sum is σ = 2651566400. Its totient is φ = 188490240.

The previous prime is 808356893. The next prime is 808356911. The reversal of 808356900 is 9653808.

It is a super-2 number, since 2×808356900² = 1306881755555220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68646 + ... + 79554.

Almost surely, 2^808356900 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 808356900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325783200).

808356900 is an abundant number, since it is smaller than the sum of its proper divisors (1843209500).

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

808356900 is a wasteful number, since it uses less digits than its factorization.

808356900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 808356900 is about 28431.6179631058. The cubic root of 808356900 is about 931.5390172402.

The spelling of 808356900 in words is "eight hundred eight million, three hundred fifty-six thousand, nine hundred".