772200000000 has 1440 divisors, whose sum is σ = 3356717031360. Its totient is φ = 172800000000.

The previous prime is 772199999993. The next prime is 772200000001. The reversal of 772200000000 is 2277.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (772200000001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59399999994 + ... + 59400000006.

It is an arithmetic number, because the mean of its divisors is an integer number (2331053494).

Almost surely, 2^772200000000 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 772200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678358515680).

772200000000 is an abundant number, since it is smaller than the sum of its proper divisors (2584517031360).

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

772200000000 is an frugal number, since it uses more digits than its factorization.

772200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

Adding to 772200000000 its reverse (2277), we get a palindrome (772200002277).

The spelling of 772200000000 in words is "seven hundred seventy-two billion, two hundred million", and thus it is an aban number.