795747680 has 384 divisors, whose sum is σ = 2503581696. Its totient is φ = 232243200.

The previous prime is 795747613. The next prime is 795747697. The reversal of 795747680 is 86747597.

795747680 is nontrivially palindromic in base 6.

795747680 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 28209²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18505739 + ... + 18505781.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2^795747680 is an apocalyptic number.

795747680 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 795747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251790848).

795747680 is an abundant number, since it is smaller than the sum of its proper divisors (1707834016).

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

795747680 is a wasteful number, since it uses less digits than its factorization.

795747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 795747680 is about 28208.9999822752. Note that the first 4 decimals coincide. The cubic root of 795747680 is about 926.6700504221.

The spelling of 795747680 in words is "seven hundred ninety-five million, seven hundred forty-seven thousand, six hundred eighty".