800746240 has 216 divisors, whose sum is σ = 2365578432. Its totient is φ = 258048000.

The previous prime is 800746237. The next prime is 800746253. The reversal of 800746240 is 42647008.

800746240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065865 + ... + 1066615.

It is an arithmetic number, because the mean of its divisors is an integer number (10951752).

Almost surely, 2^800746240 is an apocalyptic number.

800746240 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 800746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182789216).

800746240 is an abundant number, since it is smaller than the sum of its proper divisors (1564832192).

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

800746240 is a wasteful number, since it uses less digits than its factorization.

800746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 800746240 is about 28297.4599566816. The cubic root of 800746240 is about 928.6063219573.

The spelling of 800746240 in words is "eight hundred million, seven hundred forty-six thousand, two hundred forty".