797671728 has 120 divisors (see below), whose sum is σ = 2613645216. Its totient is φ = 222336000.

The previous prime is 797671727. The next prime is 797671729. The reversal of 797671728 is 827176797.

It is an interprime number because it is at equal distance from previous prime (797671727) and next prime (797671729).

It is a super-4 number, since 4×797671728⁴ (a number of 37 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (797671727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31678 + ... + 50978.

Almost surely, 2^797671728 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 797671728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306822608).

797671728 is an abundant number, since it is smaller than the sum of its proper divisors (1815973488).

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

797671728 is a wasteful number, since it uses less digits than its factorization.

797671728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19363 (or 19354 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The square root of 797671728 is about 28243.0828345632. The cubic root of 797671728 is about 927.4163182059.

The spelling of 797671728 in words is "seven hundred ninety-seven million, six hundred seventy-one thousand, seven hundred twenty-eight".