808881840 has 240 divisors, whose sum is σ = 2961372960. Its totient is φ = 196669440.

The previous prime is 808881781. The next prime is 808881841. The reversal of 808881840 is 48188808.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (808881841) by changing a digit.

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, 832555 + ... + 833525.

It is an arithmetic number, because the mean of its divisors is an integer number (12339054).

Almost surely, 2^808881840 is an apocalyptic number.

808881840 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 808881840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480686480).

808881840 is an abundant number, since it is smaller than the sum of its proper divisors (2152491120).

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

808881840 is a wasteful number, since it uses less digits than its factorization.

808881840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 808881840 is about 28440.8480886207. The cubic root of 808881840 is about 931.7406180754.

It can be divided in two parts, 80888 and 1840, that added together give a palindrome (82728).

The spelling of 808881840 in words is "eight hundred eight million, eight hundred eighty-one thousand, eight hundred forty".