7971210 has 80 divisors (see below), whose sum is σ = 23112936. Its totient is φ = 1959552.

The previous prime is 7971209. The next prime is 7971217. The reversal of 7971210 is 121797.

It can be written as a sum of positive squares in 4 ways, for example, as 5433561 + 2537649 = 2331^2 + 1593^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971217) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10152 + ... + 10908.

Almost surely, 2^7971210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7971210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556468).

7971210 is an abundant number, since it is smaller than the sum of its proper divisors (15141726).

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

7971210 is a wasteful number, since it uses less digits than its factorization.

7971210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 7971210 is about 2823.3331365604. Note that the first 3 decimals coincide. The cubic root of 7971210 is about 199.7597949565.

It can be divided in two parts, 79 and 71210, that added together give a square (71289 = 267²).

The spelling of 7971210 in words is "seven million, nine hundred seventy-one thousand, two hundred ten".