772725627520 has 512 divisors, whose sum is σ = 2334588272640. Its totient is φ = 237584793600.

The previous prime is 772725627493. The next prime is 772725627523. The reversal of 772725627520 is 25726527277.

It is not an unprimeable number, because it can be changed into a prime (772725627523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946411962 + ... + 1946412358.

It is an arithmetic number, because the mean of its divisors is an integer number (4559742720).

Almost surely, 2^772725627520 is an apocalyptic number.

772725627520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772725627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167294136320).

772725627520 is an abundant number, since it is smaller than the sum of its proper divisors (1561862645120).

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

772725627520 is a wasteful number, since it uses less digits than its factorization.

772725627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 52.

The spelling of 772725627520 in words is "seven hundred seventy-two billion, seven hundred twenty-five million, six hundred twenty-seven thousand, five hundred twenty".