7772120 has 32 divisors (see below), whose sum is σ = 17705520. Its totient is φ = 3070080.

The previous prime is 7772117. The next prime is 7772123. The reversal of 7772120 is 212777.

It is an interprime number because it is at equal distance from previous prime (7772117) and next prime (7772123).

It is a self number, because there is not a number n which added to its sum of digits gives 7772120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2150 + ... + 4490.

Almost surely, 2^7772120 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 7772120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8852760).

7772120 is an abundant number, since it is smaller than the sum of its proper divisors (9933400).

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

7772120 is a wasteful number, since it uses less digits than its factorization.

7772120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 7772120 is about 2787.8522198998. The cubic root of 7772120 is about 198.0826781200.

Adding to 7772120 its reverse (212777), we get a palindrome (7984897).

The spelling of 7772120 in words is "seven million, seven hundred seventy-two thousand, one hundred twenty".