795309840 has 280 divisors, whose sum is σ = 2988480600. Its totient is φ = 195581952.

The previous prime is 795309839. The next prime is 795309859. The reversal of 795309840 is 48903597.

795309840 is a `hidden beast` number, since 79 + 530 + 9 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100881936 + 694427904 = 10044^2 + 26352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 757636 + ... + 758684.

It is an arithmetic number, because the mean of its divisors is an integer number (10673145).

Almost surely, 2^795309840 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 795309840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494240300).

795309840 is an abundant number, since it is smaller than the sum of its proper divisors (2193170760).

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

795309840 is a wasteful number, since it uses less digits than its factorization.

795309840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 795309840 is about 28201.2382706859. The cubic root of 795309840 is about 926.5000603350.

The spelling of 795309840 in words is "seven hundred ninety-five million, three hundred nine thousand, eight hundred forty".