797328000 has 576 divisors, whose sum is σ = 3360375720. Its totient is φ = 180633600.

The previous prime is 797327981. The next prime is 797328023. The reversal of 797328000 is 823797.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 749883456 = 6888^2 + 27384^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7055944 + ... + 7056056.

Almost surely, 2^797328000 is an apocalyptic number.

797328000 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 797328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680187860).

797328000 is an abundant number, since it is smaller than the sum of its proper divisors (2563047720).

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

797328000 is a wasteful number, since it uses less digits than its factorization.

797328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 797328000 is about 28236.9970074723. The cubic root of 797328000 is about 927.2830868089.

The spelling of 797328000 in words is "seven hundred ninety-seven million, three hundred twenty-eight thousand".