773072416224 has 288 divisors, whose sum is σ = 2330980194816. Its totient is φ = 251968527360.

The previous prime is 773072416213. The next prime is 773072416297. The reversal of 773072416224 is 422614270377.

773072416224 is a `hidden beast` number, since 7 + 7 + 3 + 0 + 7 + 2 + 416 + 224 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 773072416224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71370489 + ... + 71381319.

It is an arithmetic number, because the mean of its divisors is an integer number (8093681232).

Almost surely, 2^773072416224 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 773072416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165490097408).

773072416224 is an abundant number, since it is smaller than the sum of its proper divisors (1557907778592).

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

773072416224 is a wasteful number, since it uses less digits than its factorization.

773072416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 773072416224 in words is "seven hundred seventy-three billion, seventy-two million, four hundred sixteen thousand, two hundred twenty-four".