845764416 has 336 divisors, whose sum is σ = 3048829056. Its totient is φ = 226934784.

The previous prime is 845764397. The next prime is 845764417. The reversal of 845764416 is 614467548.

845764416 = 489² + 490² + ... + 1384².

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845764417) 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 47 ways as a sum of consecutive naturals, for example, 1850460 + ... + 1850916.

It is an arithmetic number, because the mean of its divisors is an integer number (9073896).

Almost surely, 2^845764416 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 845764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524414528).

845764416 is an abundant number, since it is smaller than the sum of its proper divisors (2203064640).

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

845764416 is a wasteful number, since it uses less digits than its factorization.

845764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 845764416 is about 29082.0290901443. The cubic root of 845764416 is about 945.6921912743.

The spelling of 845764416 in words is "eight hundred forty-five million, seven hundred sixty-four thousand, four hundred sixteen".