795281760 has 864 divisors, whose sum is σ = 3704188320. Its totient is φ = 157925376.

The previous prime is 795281723. The next prime is 795281779. The reversal of 795281760 is 67182597.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46781272 + ... + 46781288.

It is an arithmetic number, because the mean of its divisors is an integer number (4287255).

Almost surely, 2^795281760 is an apocalyptic number.

795281760 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 795281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852094160).

795281760 is an abundant number, since it is smaller than the sum of its proper divisors (2908906560).

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

795281760 is a wasteful number, since it uses less digits than its factorization.

795281760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 795281760 is about 28200.7404158118. The cubic root of 795281760 is about 926.4891562292.

The spelling of 795281760 in words is "seven hundred ninety-five million, two hundred eighty-one thousand, seven hundred sixty".