793095072 has 192 divisors, whose sum is σ = 2680086528. Its totient is φ = 199296000.

The previous prime is 793095071. The next prime is 793095089. The reversal of 793095072 is 270590397.

793095072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (793095071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227422 + ... + 230882.

It is an arithmetic number, because the mean of its divisors is an integer number (13958784).

Almost surely, 2^793095072 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 793095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340043264).

793095072 is an abundant number, since it is smaller than the sum of its proper divisors (1886991456).

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

793095072 is a wasteful number, since it uses less digits than its factorization.

793095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 793095072 is about 28161.9436829208. The cubic root of 793095072 is about 925.6392258474.

The spelling of 793095072 in words is "seven hundred ninety-three million, ninety-five thousand, seventy-two".