795847680 has 440 divisors, whose sum is σ = 3031688880. Its totient is φ = 199065600.

The previous prime is 795847669. The next prime is 795847687. The reversal of 795847680 is 86748597.

795847680 is a `hidden beast` number, since 7 + 95 + 8 + 476 + 80 = 666.

795847680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×795847680² = 1266747059522764800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795847687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879630 + ... + 7879730.

It is an arithmetic number, because the mean of its divisors is an integer number (6890202).

Almost surely, 2^795847680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515844440).

795847680 is an abundant number, since it is smaller than the sum of its proper divisors (2235841200).

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

795847680 is a wasteful number, since it uses less digits than its factorization.

795847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 795847680 is about 28210.7724105527. The cubic root of 795847680 is about 926.7088663793.

The spelling of 795847680 in words is "seven hundred ninety-five million, eight hundred forty-seven thousand, six hundred eighty".