790400 has 96 divisors (see below), whose sum is σ = 2213400. Its totient is φ = 276480.

The previous prime is 790397. The next prime is 790403. The reversal of 790400 is 4097.

It is an interprime number because it is at equal distance from previous prime (790397) and next prime (790403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41591 + ... + 41609.

2⁷⁹⁰⁴⁰⁰ 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 790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106700).

790400 is an abundant number, since it is smaller than the sum of its proper divisors (1423000).

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

790400 is a wasteful number, since it uses less digits than its factorization.

790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 790400 is about 889.0444308357. The cubic root of 790400 is about 92.4589542752.

Adding to 790400 its reverse (4097), we get a palindrome (794497).

The spelling of 790400 in words is "seven hundred ninety thousand, four hundred".