1075795840 has 128 divisors (see below), whose sum is σ = 2951308800. Its totient is φ = 367331328.

The previous prime is 1075795807. The next prime is 1075795867. The reversal of 1075795840 is 485975701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1075795840² = 2314673378722611200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966447 + ... + 1966993.

It is an arithmetic number, because the mean of its divisors is an integer number (23057100).

Almost surely, 2^1075795840 is an apocalyptic number.

1075795840 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 1075795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475654400).

1075795840 is an abundant number, since it is smaller than the sum of its proper divisors (1875512960).

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

1075795840 is an equidigital number, since it uses as much as digits as its factorization.

1075795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The square root of 1075795840 is about 32799.3268223602. The cubic root of 1075795840 is about 1024.6525381870.

The spelling of 1075795840 in words is "one billion, seventy-five million, seven hundred ninety-five thousand, eight hundred forty".