772060500 has 144 divisors (see below), whose sum is σ = 2501959824. Its totient is φ = 200275200.

The previous prime is 772060453. The next prime is 772060517. The reversal of 772060500 is 5060277.

It can be written as a sum of positive squares in 8 ways, for example, as 182736324 + 589324176 = 13518^2 + 24276^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164182 + ... + 168818.

It is an arithmetic number, because the mean of its divisors is an integer number (17374721).

Almost surely, 2^772060500 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 772060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250979912).

772060500 is an abundant number, since it is smaller than the sum of its proper divisors (1729899324).

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

772060500 is a wasteful number, since it uses less digits than its factorization.

772060500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 772060500 is about 27785.9766788933. The cubic root of 772060500 is about 917.3824858712.

The spelling of 772060500 in words is "seven hundred seventy-two million, sixty thousand, five hundred".