795069000 has 256 divisors, whose sum is σ = 3007929600. Its totient is φ = 192672000.

The previous prime is 795068977. The next prime is 795069001. The reversal of 795069000 is 960597.

795069000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×795069000² = 1264269429522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (795069001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295662 + ... + 298338.

It is an arithmetic number, because the mean of its divisors is an integer number (11749725).

Almost surely, 2^795069000 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 795069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503964800).

795069000 is an abundant number, since it is smaller than the sum of its proper divisors (2212860600).

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

795069000 is a wasteful number, since it uses less digits than its factorization.

795069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 795069000 is about 28196.9679221011. The cubic root of 795069000 is about 926.4065283172.

The spelling of 795069000 in words is "seven hundred ninety-five million, sixty-nine thousand".