795125760 has 384 divisors, whose sum is σ = 3005009280. Its totient is φ = 176947200.

The previous prime is 795125753. The next prime is 795125761. The reversal of 795125760 is 67521597.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (795125761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392870 + ... + 4393050.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^795125760 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 795125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

795125760 is an abundant number, since it is smaller than the sum of its proper divisors (2209883520).

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

795125760 is a wasteful number, since it uses less digits than its factorization.

795125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 795125760 is about 28197.9743953356. The cubic root of 795125760 is about 926.4285731893.

The spelling of 795125760 in words is "seven hundred ninety-five million, one hundred twenty-five thousand, seven hundred sixty".