795648000 has 448 divisors, whose sum is σ = 3107789568. Its totient is φ = 176947200.

The previous prime is 795647999. The next prime is 795648001. The reversal of 795648000 is 846597.

It is an interprime number because it is at equal distance from previous prime (795647999) and next prime (795648001).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 795648000.

It is not an unprimeable number, because it can be changed into a prime (795648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21503982 + ... + 21504018.

Almost surely, 2^795648000 is an apocalyptic number.

795648000 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 795648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553894784).

795648000 is an abundant number, since it is smaller than the sum of its proper divisors (2312141568).

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

795648000 is an equidigital number, since it uses as much as digits as its factorization.

795648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 795648000 is about 28207.2331149299. The cubic root of 795648000 is about 926.6313554395.

The spelling of 795648000 in words is "seven hundred ninety-five million, six hundred forty-eight thousand".