795023873280 has 2304 divisors, whose sum is σ = 3758082048000. Its totient is φ = 154506756096.

The previous prime is 795023873239. The next prime is 795023873291. The reversal of 795023873280 is 82378320597.

795023873280 is a `hidden beast` number, since 79 + 502 + 38 + 7 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2097688131 + ... + 2097688509.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112000).

Almost surely, 2^795023873280 is an apocalyptic number.

795023873280 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 795023873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879041024000).

795023873280 is an abundant number, since it is smaller than the sum of its proper divisors (2963058174720).

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

795023873280 is a wasteful number, since it uses less digits than its factorization.

795023873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 795023873280 in words is "seven hundred ninety-five billion, twenty-three million, eight hundred seventy-three thousand, two hundred eighty".