772975056100 has 81 divisors (see below), whose sum is σ = 1816577034363. Its totient is φ = 285363973440.

The previous prime is 772975056079. The next prime is 772975056107. The reversal of 772975056100 is 1650579277.

It is a happy number.

The square root of 772975056100 is 879190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 199235464164 + 573739591936 = 446358^2 + 757456^2 .

It is not an unprimeable number, because it can be changed into a prime (772975056107) 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 26 ways as a sum of consecutive naturals, for example, 114291319 + ... + 114298081.

Almost surely, 2^772975056100 is an apocalyptic number.

772975056100 is the 879190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772975056100

772975056100 is an abundant number, since it is smaller than the sum of its proper divisors (1043601978263).

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

772975056100 is an equidigital number, since it uses as much as digits as its factorization.

772975056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 49.

Multiplying 772975056100 by its sum of digits (49), we get a square (37875777748900 = 6154330²).

The spelling of 772975056100 in words is "seven hundred seventy-two billion, nine hundred seventy-five million, fifty-six thousand, one hundred".