772479504 has 120 divisors (see below), whose sum is σ = 2360161440. Its totient is φ = 243917568.

The previous prime is 772479497. The next prime is 772479509. The reversal of 772479504 is 405974277.

772479504 is a `hidden beast` number, since 7 + 72 + 4 + 79 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 772479504.

It is not an unprimeable number, because it can be changed into a prime (772479509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68644 + ... + 79100.

It is an arithmetic number, because the mean of its divisors is an integer number (19668012).

Almost surely, 2^772479504 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 772479504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180080720).

772479504 is an abundant number, since it is smaller than the sum of its proper divisors (1587681936).

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

772479504 is a wasteful number, since it uses less digits than its factorization.

772479504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 772479504 is about 27793.5155027211. The cubic root of 772479504 is about 917.5484130299.

The spelling of 772479504 in words is "seven hundred seventy-two million, four hundred seventy-nine thousand, five hundred four".