772220901000 has 128 divisors (see below), whose sum is σ = 2413659980160. Its totient is φ = 205555424000.

The previous prime is 772220900921. The next prime is 772220901007. The reversal of 772220901000 is 109022277.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (772220901007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439935 + ... + 1902065.

It is an arithmetic number, because the mean of its divisors is an integer number (18856718595).

Almost surely, 2^772220901000 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 772220901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206829990080).

772220901000 is an abundant number, since it is smaller than the sum of its proper divisors (1641439079160).

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

772220901000 is a wasteful number, since it uses less digits than its factorization.

772220901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462712 (or 462698 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 772220901000 its reverse (109022277), we get a palindrome (772329923277).

The spelling of 772220901000 in words is "seven hundred seventy-two billion, two hundred twenty million, nine hundred one thousand".