7211880 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 1672704.

The previous prime is 7211879. The next prime is 7211899. The reversal of 7211880 is 881127.

It is a super-3 number, since 3×7211880³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 107607 + ... + 107673.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^7211880 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 7211880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7211880 is an abundant number, since it is smaller than the sum of its proper divisors (19520280).

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

7211880 is a wasteful number, since it uses less digits than its factorization.

7211880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7211880 is about 2685.4943678958. The cubic root of 7211880 is about 193.2040223948.

It can be divided in two parts, 721 and 1880, that added together give a square (2601 = 51²).

The spelling of 7211880 in words is "seven million, two hundred eleven thousand, eight hundred eighty".