795283453440 has 1200 divisors, whose sum is σ = 3429036666000. Its totient is φ = 175445803008.

The previous prime is 795283453439. The next prime is 795283453451. The reversal of 795283453440 is 44354382597.

795283453440 is a `hidden beast` number, since 7 + 9 + 528 + 3 + 45 + 34 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 294657211 + ... + 294659909.

It is an arithmetic number, because the mean of its divisors is an integer number (2857530555).

Almost surely, 2^795283453440 is an apocalyptic number.

795283453440 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 795283453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714518333000).

795283453440 is an abundant number, since it is smaller than the sum of its proper divisors (2633753212560).

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

795283453440 is a wasteful number, since it uses less digits than its factorization.

795283453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 795283453440 in words is "seven hundred ninety-five billion, two hundred eighty-three million, four hundred fifty-three thousand, four hundred forty".