772706304 has 260 divisors, whose sum is σ = 2461919724. Its totient is φ = 240648192.

The previous prime is 772706281. The next prime is 772706323. The reversal of 772706304 is 403607277.

It can be written as a sum of positive squares in 2 ways, for example, as 530841600 + 241864704 = 23040^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640124 + ... + 5640260.

Almost surely, 2^772706304 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 772706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230959862).

772706304 is an abundant number, since it is smaller than the sum of its proper divisors (1689213420).

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

772706304 is a wasteful number, since it uses less digits than its factorization.

772706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 772706304 is about 27797.5952916795. The cubic root of 772706304 is about 917.6382016549.

The spelling of 772706304 in words is "seven hundred seventy-two million, seven hundred six thousand, three hundred four".