793435104 has 288 divisors, whose sum is σ = 2892105216. Its totient is φ = 200309760.

The previous prime is 793435081. The next prime is 793435129. The reversal of 793435104 is 401534397.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820029 + ... + 820995.

It is an arithmetic number, because the mean of its divisors is an integer number (10042032).

Almost surely, 2^793435104 is an apocalyptic number.

793435104 is a gapful number since it is divisible by the number (74) 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 793435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446052608).

793435104 is an abundant number, since it is smaller than the sum of its proper divisors (2098670112).

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

793435104 is a wasteful number, since it uses less digits than its factorization.

793435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 793435104 is about 28167.9801192773. The cubic root of 793435104 is about 925.7714932965.

The spelling of 793435104 in words is "seven hundred ninety-three million, four hundred thirty-five thousand, one hundred four".