795409920 has 480 divisors, whose sum is σ = 3064089600. Its totient is φ = 189775872.

The previous prime is 795409919. The next prime is 795409921. The reversal of 795409920 is 29904597.

795409920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (795409919) and next prime (795409921).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795409921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10068441 + ... + 10068519.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^795409920 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 795409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532044800).

795409920 is an abundant number, since it is smaller than the sum of its proper divisors (2268679680).

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

795409920 is a wasteful number, since it uses less digits than its factorization.

795409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 795409920 is about 28203.0126050392. The cubic root of 795409920 is about 926.5389215989.

The spelling of 795409920 in words is "seven hundred ninety-five million, four hundred nine thousand, nine hundred twenty".