795605580 has 288 divisors, whose sum is σ = 3038031360. Its totient is φ = 163722240.

The previous prime is 795605567. The next prime is 795605599. The reversal of 795605580 is 85506597.

795605580 is a `hidden beast` number, since 7 + 9 + 5 + 60 + 5 + 580 = 666.

It is a super-3 number, since 3×795605580³ (a number of 28 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1898611 + ... + 1899029.

It is an arithmetic number, because the mean of its divisors is an integer number (10548720).

Almost surely, 2^795605580 is an apocalyptic number.

795605580 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 795605580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519015680).

795605580 is an abundant number, since it is smaller than the sum of its proper divisors (2242425780).

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

795605580 is a wasteful number, since it uses less digits than its factorization.

795605580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 795605580 is about 28206.4811701141. The cubic root of 795605580 is about 926.6148873529.

The spelling of 795605580 in words is "seven hundred ninety-five million, six hundred five thousand, five hundred eighty".