7900800 has 96 divisors (see below), whose sum is σ = 26054880. Its totient is φ = 2104320.

The previous prime is 7900793. The next prime is 7900807. The reversal of 7900800 is 80097.

It is an interprime number because it is at equal distance from previous prime (7900793) and next prime (7900807).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7900807) 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, 9189 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (271405).

Almost surely, 2^7900800 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 7900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027440).

7900800 is an abundant number, since it is smaller than the sum of its proper divisors (18154080).

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

7900800 is a wasteful number, since it uses less digits than its factorization.

7900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 7900800 is about 2810.8361745217. The cubic root of 7900800 is about 199.1698927095.

Adding to 7900800 its reverse (80097), we get a palindrome (7980897).

The spelling of 7900800 in words is "seven million, nine hundred thousand, eight hundred".