795354560 has 336 divisors, whose sum is σ = 2570268672. Its totient is φ = 227635200.

The previous prime is 795354557. The next prime is 795354563. The reversal of 795354560 is 65453597.

It is an interprime number because it is at equal distance from previous prime (795354557) and next prime (795354563).

It is a super-2 number, since 2×795354560² = 1265177752225587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795354563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164065 + ... + 4164255.

Almost surely, 2^795354560 is an apocalyptic number.

795354560 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 795354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285134336).

795354560 is an abundant number, since it is smaller than the sum of its proper divisors (1774914112).

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

795354560 is a wasteful number, since it uses less digits than its factorization.

795354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 44.

The square root of 795354560 is about 28202.0311325266. The cubic root of 795354560 is about 926.5174256032.

The spelling of 795354560 in words is "seven hundred ninety-five million, three hundred fifty-four thousand, five hundred sixty".