790840800 has 576 divisors, whose sum is σ = 3149798400. Its totient is φ = 190771200.

The previous prime is 790840751. The next prime is 790840829. The reversal of 790840800 is 8048097.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16826377 + ... + 16826423.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^790840800 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 790840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

790840800 is an abundant number, since it is smaller than the sum of its proper divisors (2358957600).

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

790840800 is a wasteful number, since it uses less digits than its factorization.

790840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 790840800 is about 28121.8918282537. The cubic root of 790840800 is about 924.7613896350.

Adding to 790840800 its reverse (8048097), we get a palindrome (798888897).

The spelling of 790840800 in words is "seven hundred ninety million, eight hundred forty thousand, eight hundred".