800998240 has 96 divisors (see below), whose sum is σ = 2182178880. Its totient is φ = 272154624.

The previous prime is 800998213. The next prime is 800998249. The reversal of 800998240 is 42899008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 800998193 and 800998202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800998249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123396 + ... + 129724.

It is an arithmetic number, because the mean of its divisors is an integer number (22731030).

Almost surely, 2^800998240 is an apocalyptic number.

800998240 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 800998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091089440).

800998240 is an abundant number, since it is smaller than the sum of its proper divisors (1381180640).

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

800998240 is a wasteful number, since it uses less digits than its factorization.

800998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 800998240 is about 28301.9123028816. The cubic root of 800998240 is about 928.7037245374.

800998240 divided by its sum of digits (40) gives a triangular number (20024956 = T₆₃₂₈).

The spelling of 800998240 in words is "eight hundred million, nine hundred ninety-eight thousand, two hundred forty".