793046144 has 64 divisors (see below), whose sum is σ = 1748018880. Its totient is φ = 355353600.

The previous prime is 793046143. The next prime is 793046153. The reversal of 793046144 is 441640397.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 793046098 and 793046107.

It is not an unprimeable number, because it can be changed into a prime (793046143) 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 7 ways as a sum of consecutive naturals, for example, 96002 + ... + 103934.

It is an arithmetic number, because the mean of its divisors is an integer number (27312795).

Almost surely, 2^793046144 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 793046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874009440).

793046144 is an abundant number, since it is smaller than the sum of its proper divisors (954972736).

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

793046144 is a wasteful number, since it uses less digits than its factorization.

793046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 793046144 is about 28161.0749794819. The cubic root of 793046144 is about 925.6201904635.

The spelling of 793046144 in words is "seven hundred ninety-three million, forty-six thousand, one hundred forty-four".