790041600 has 396 divisors, whose sum is σ = 2956588544. Its totient is φ = 209018880.

The previous prime is 790041589. The next prime is 790041601. The reversal of 790041600 is 6140097.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220737 + ... + 6220863.

Almost surely, 2^790041600 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 790041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478294272).

790041600 is an abundant number, since it is smaller than the sum of its proper divisors (2166546944).

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

790041600 is a wasteful number, since it uses less digits than its factorization.

790041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

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

The square root of 790041600 is about 28107.6786661581. The cubic root of 790041600 is about 924.4497725969.

Adding to 790041600 its reverse (6140097), we get a palindrome (796181697).

The spelling of 790041600 in words is "seven hundred ninety million, forty-one thousand, six hundred".