7979800 has 48 divisors (see below), whose sum is σ = 19652760. Its totient is φ = 3002880.

The previous prime is 7979779. The next prime is 7979813. The reversal of 7979800 is 89797.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2227 + ... + 4573.

Almost surely, 2^7979800 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 7979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9826380).

7979800 is an abundant number, since it is smaller than the sum of its proper divisors (11672960).

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

7979800 is a wasteful number, since it uses less digits than its factorization.

7979800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 7979800 is about 2824.8539785270. The cubic root of 7979800 is about 199.8315247870.

The spelling of 7979800 in words is "seven million, nine hundred seventy-nine thousand, eight hundred".