790416 has 60 divisors (see below), whose sum is σ = 2418000. Its totient is φ = 239040.

The previous prime is 790403. The next prime is 790417. The reversal of 790416 is 614097.

It is a self number, because there is not a number n which added to its sum of digits gives 790416.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 790416.

It is not an unprimeable number, because it can be changed into a prime (790417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (40300).

2⁷⁹⁰⁴¹⁶ 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 790416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209000).

790416 is an abundant number, since it is smaller than the sum of its proper divisors (1627584).

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

790416 is a wasteful number, since it uses less digits than its factorization.

790416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 790416 is about 889.0534292156. The cubic root of 790416 is about 92.4595781505.

The spelling of 790416 in words is "seven hundred ninety thousand, four hundred sixteen".