797872320 has 336 divisors, whose sum is σ = 3303056640. Its totient is φ = 172689408.

The previous prime is 797872319. The next prime is 797872349. The reversal of 797872320 is 23278797.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 381999 + ... + 384081.

Almost surely, 2^797872320 is an apocalyptic number.

797872320 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 797872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651528320).

797872320 is an abundant number, since it is smaller than the sum of its proper divisors (2505184320).

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

797872320 is a wasteful number, since it uses less digits than its factorization.

797872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 797872320 is about 28246.6337817447. The cubic root of 797872320 is about 927.4940513952.

The spelling of 797872320 in words is "seven hundred ninety-seven million, eight hundred seventy-two thousand, three hundred twenty".