7772160000 has 600 divisors, whose sum is σ = 29480863104. Its totient is φ = 1802240000.

The previous prime is 7772159953. The next prime is 7772160041. The reversal of 7772160000 is 612777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7772160000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 337919989 + ... + 337920011.

Almost surely, 2^7772160000 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 7772160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740431552).

7772160000 is an abundant number, since it is smaller than the sum of its proper divisors (21708703104).

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

7772160000 is an equidigital number, since it uses as much as digits as its factorization.

7772160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 7772160000 is about 88159.8548093178. The cubic root of 7772160000 is about 1980.8301793689.

Adding to 7772160000 its reverse (612777), we get a palindrome (7772772777).

The spelling of 7772160000 in words is "seven billion, seven hundred seventy-two million, one hundred sixty thousand".