800880000 has 320 divisors, whose sum is σ = 2753118720. Its totient is φ = 206080000.

The previous prime is 800879977. The next prime is 800880023. The reversal of 800880000 is 88008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800879977) and next prime (800880023).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11279965 + ... + 11280035.

It is an arithmetic number, because the mean of its divisors is an integer number (8603496).

Almost surely, 2^800880000 is an apocalyptic number.

800880000 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 800880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376559360).

800880000 is an abundant number, since it is smaller than the sum of its proper divisors (1952238720).

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

800880000 is an equidigital number, since it uses as much as digits as its factorization.

800880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 800880000 is about 28299.8233210033. The cubic root of 800880000 is about 928.6580251727.

The spelling of 800880000 in words is "eight hundred million, eight hundred eighty thousand".