7772141056 has 160 divisors (see below), whose sum is σ = 17447633280. Its totient is φ = 3440640000.

The previous prime is 7772141011. The next prime is 7772141087. The reversal of 7772141056 is 6501412777.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10348681 + ... + 10349431.

It is an arithmetic number, because the mean of its divisors is an integer number (109047708).

Almost surely, 2^7772141056 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 7772141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723816640).

7772141056 is an abundant number, since it is smaller than the sum of its proper divisors (9675492224).

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

7772141056 is a wasteful number, since it uses less digits than its factorization.

7772141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 7772141056 is about 88159.7473680591. The cubic root of 7772141056 is about 1980.8285699974.

The spelling of 7772141056 in words is "seven billion, seven hundred seventy-two million, one hundred forty-one thousand, fifty-six".