772605440 has 80 divisors (see below), whose sum is σ = 1873808640. Its totient is φ = 305479680.

The previous prime is 772605401. The next prime is 772605451. The reversal of 772605440 is 44506277.

772605440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 772605440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226145 + ... + 229535.

It is an arithmetic number, because the mean of its divisors is an integer number (23422608).

Almost surely, 2^772605440 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 772605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936904320).

772605440 is an abundant number, since it is smaller than the sum of its proper divisors (1101203200).

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

772605440 is an equidigital number, since it uses as much as digits as its factorization.

772605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 772605440 is about 27795.7809748170. The cubic root of 772605440 is about 917.5982724318.

The spelling of 772605440 in words is "seven hundred seventy-two million, six hundred five thousand, four hundred forty".