772725888 has 288 divisors, whose sum is σ = 2589041520. Its totient is φ = 219340800.

The previous prime is 772725887. The next prime is 772725911. The reversal of 772725888 is 888527277.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (772725883) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3662103 + ... + 3662313.

Almost surely, 2^772725888 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 772725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294520760).

772725888 is an abundant number, since it is smaller than the sum of its proper divisors (1816315632).

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

772725888 is a wasteful number, since it uses less digits than its factorization.

772725888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The square root of 772725888 is about 27797.9475501340. The cubic root of 772725888 is about 917.6459540073.

The spelling of 772725888 in words is "seven hundred seventy-two million, seven hundred twenty-five thousand, eight hundred eighty-eight".