793828224 has 288 divisors, whose sum is σ = 2730021840. Its totient is φ = 221276160.

The previous prime is 793828201. The next prime is 793828237. The reversal of 793828224 is 422828397.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (387072) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 793828224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19361644 + ... + 19361684.

Almost surely, 2^793828224 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 793828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365010920).

793828224 is an abundant number, since it is smaller than the sum of its proper divisors (1936193616).

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

793828224 is an frugal number, since it uses more digits than its factorization.

793828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 793828224 is about 28174.9573912721. The cubic root of 793828224 is about 925.9243641058.

The spelling of 793828224 in words is "seven hundred ninety-three million, eight hundred twenty-eight thousand, two hundred twenty-four".