7920180 has 60 divisors (see below), whose sum is σ = 24850980. Its totient is φ = 2111616.

The previous prime is 7920173. The next prime is 7920193. The reversal of 7920180 is 810297.

7920180 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 3709476 = 2052^2 + 1926^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 825 + ... + 4064.

It is an arithmetic number, because the mean of its divisors is an integer number (414183).

Almost surely, 2^7920180 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 7920180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425490).

7920180 is an abundant number, since it is smaller than the sum of its proper divisors (16930800).

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

7920180 is a wasteful number, since it uses less digits than its factorization.

7920180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7920180 is about 2814.2814358198. The cubic root of 7920180 is about 199.3326087552.

It can be divided in two parts, 7920 and 180, that added together give a square (8100 = 90²).

The spelling of 7920180 in words is "seven million, nine hundred twenty thousand, one hundred eighty".