790160 has 80 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 251904.

The previous prime is 790121. The next prime is 790169. The reversal of 790160 is 61097.

790160 = T₈ + T₉ + ... + T₁₆₇.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (790169) by changing a digit.

790160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9479 + ... + 9561.

2⁷⁹⁰¹⁶⁰ is an apocalyptic number.

790160 is a gapful number since it is divisible by the number (70) 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 790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

790160 is an abundant number, since it is smaller than the sum of its proper divisors (1459696).

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

790160 is a wasteful number, since it uses less digits than its factorization.

790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 790160 is about 888.9094442068. The cubic root of 790160 is about 92.4495951341.

The spelling of 790160 in words is "seven hundred ninety thousand, one hundred sixty".