800256940 has 96 divisors (see below), whose sum is σ = 2069028864. Its totient is φ = 253946880.

The previous prime is 800256931. The next prime is 800256949. The reversal of 800256940 is 49652008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800256931) and next prime (800256949).

It is a super-2 number, since 2×800256940² = 1280822340036327200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 800256896 and 800256905.

It is not an unprimeable number, because it can be changed into a prime (800256949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95812 + ... + 103828.

It is an arithmetic number, because the mean of its divisors is an integer number (21552384).

Almost surely, 2^800256940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800256940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034514432).

800256940 is an abundant number, since it is smaller than the sum of its proper divisors (1268771924).

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

800256940 is a wasteful number, since it uses less digits than its factorization.

800256940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 800256940 is about 28288.8129832271. The cubic root of 800256940 is about 928.4171402375.

The spelling of 800256940 in words is "eight hundred million, two hundred fifty-six thousand, nine hundred forty".