795363840 has 320 divisors, whose sum is σ = 2910885120. Its totient is φ = 205701120.

The previous prime is 795363839. The next prime is 795363841. The reversal of 795363840 is 48363597.

795363840 is a `hidden beast` number, since 7 + 9 + 5 + 3 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (795363839) and next prime (795363841).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (795363841) 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, 2557285 + ... + 2557595.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^795363840 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 795363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

795363840 is an abundant number, since it is smaller than the sum of its proper divisors (2115521280).

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

795363840 is a wasteful number, since it uses less digits than its factorization.

795363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 795363840 is about 28202.1956592036. The cubic root of 795363840 is about 926.5210290478.

The spelling of 795363840 in words is "seven hundred ninety-five million, three hundred sixty-three thousand, eight hundred forty".