795229779133440 has 880 divisors, whose sum is σ = 3428155318262400. Its totient is φ = 172200120680448.

The previous prime is 795229779133403. The next prime is 795229779133477. The reversal of 795229779133440 is 44331977922597.

795229779133440 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 2 + 97 + 7 + 91 + 3 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (795229779133403) and next prime (795229779133477).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47949076 + ... + 62366444.

It is an arithmetic number, because the mean of its divisors is an integer number (3895631043480).

Almost surely, 2^{795229779133440} is an apocalyptic number.

795229779133440 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 795229779133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714077659131200).

795229779133440 is an abundant number, since it is smaller than the sum of its proper divisors (2632925539128960).

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

795229779133440 is a wasteful number, since it uses less digits than its factorization.

795229779133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417432 (or 14417405 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 795229779133440 in words is "seven hundred ninety-five trillion, two hundred twenty-nine billion, seven hundred seventy-nine million, one hundred thirty-three thousand, four hundred forty".