797814080 has 336 divisors, whose sum is σ = 2429871696. Its totient is φ = 247726080.

The previous prime is 797814079. The next prime is 797814103. The reversal of 797814080 is 80418797.

797814080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23193856 + 774620224 = 4816^2 + 27832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10928924 + ... + 10928996.

It is an arithmetic number, because the mean of its divisors is an integer number (7231761).

Almost surely, 2^797814080 is an apocalyptic number.

797814080 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 797814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214935848).

797814080 is an abundant number, since it is smaller than the sum of its proper divisors (1632057616).

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

797814080 is a wasteful number, since it uses less digits than its factorization.

797814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 797814080 is about 28245.6028436286. The cubic root of 797814080 is about 927.4714836373.

The spelling of 797814080 in words is "seven hundred ninety-seven million, eight hundred fourteen thousand, eighty".