1000795440 has 240 divisors, whose sum is σ = 3376783872. Its totient is φ = 245035008.

The previous prime is 1000795427. The next prime is 1000795451. The reversal of 1000795440 is 445970001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1000795398 and 1000795407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259767 + ... + 3260073.

Almost surely, 2^1000795440 is an apocalyptic number.

1000795440 is a gapful number since it is divisible by the number (10) 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 1000795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688391936).

1000795440 is an abundant number, since it is smaller than the sum of its proper divisors (2375988432).

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

1000795440 is a wasteful number, since it uses less digits than its factorization.

1000795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1000795440 is about 31635.3511123237. The cubic root of 1000795440 is about 1000.2650763950.

The spelling of 1000795440 in words is "one billion, seven hundred ninety-five thousand, four hundred forty".