795760 has 80 divisors (see below), whose sum is σ = 2232000. Its totient is φ = 263424.

The previous prime is 795737. The next prime is 795761. The reversal of 795760 is 67597.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795761) by changing a digit.

795760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27426 + ... + 27454.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁷⁹⁵⁷⁶⁰ is an apocalyptic number.

795760 is a gapful number since it is divisible by the number (70) 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 795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116000).

795760 is an abundant number, since it is smaller than the sum of its proper divisors (1436240).

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

795760 is a wasteful number, since it uses less digits than its factorization.

795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 795760 is about 892.0538100361. The cubic root of 795760 is about 92.6674832724.

The spelling of 795760 in words is "seven hundred ninety-five thousand, seven hundred sixty".