793480128 has 336 divisors, whose sum is σ = 2696382720. Its totient is φ = 204374016.

The previous prime is 793480097. The next prime is 793480157. The reversal of 793480128 is 821084397.

793480128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×793480128² = 1259221427061792768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 793480128.

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, 4111200 + ... + 4111392.

Almost surely, 2^793480128 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 793480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348191360).

793480128 is an abundant number, since it is smaller than the sum of its proper divisors (1902902592).

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

793480128 is a wasteful number, since it uses less digits than its factorization.

793480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 793480128 is about 28168.7793132752. The cubic root of 793480128 is about 925.7890041373.

The spelling of 793480128 in words is "seven hundred ninety-three million, four hundred eighty thousand, one hundred twenty-eight".