800088000 has 448 divisors, whose sum is σ = 2927104128. Its totient is φ = 191692800.

The previous prime is 800087993. The next prime is 800088041. The reversal of 800088000 is 880008.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 15095974 + ... + 15096026.

Almost surely, 2^800088000 is an apocalyptic number.

800088000 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 800088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463552064).

800088000 is an abundant number, since it is smaller than the sum of its proper divisors (2127016128).

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

800088000 is a wasteful number, since it uses less digits than its factorization.

800088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

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

The square root of 800088000 is about 28285.8268396029. The cubic root of 800088000 is about 928.3518037927.

The spelling of 800088000 in words is "eight hundred million, eighty-eight thousand".