800888088 has 512 divisors, whose sum is σ = 2978519040. Its totient is φ = 172523520.

The previous prime is 800888063. The next prime is 800888149. The reversal of 800888088 is 880888008.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15111070 + ... + 15111122.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2^800888088 is an apocalyptic number.

800888088 is a gapful number since it is divisible by the number (88) 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 800888088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

800888088 is an abundant number, since it is smaller than the sum of its proper divisors (2177630952).

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

800888088 is a wasteful number, since it uses less digits than its factorization.

800888088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The square root of 800888088 is about 28299.9662190611. The cubic root of 800888088 is about 928.6611513010.

It can be divided in two parts, 800 and 888088, that added together give a palindrome (888888).

The spelling of 800888088 in words is "eight hundred million, eight hundred eighty-eight thousand, eighty-eight".