770884224 has 192 divisors, whose sum is σ = 2305134720. Its totient is φ = 227983360.

The previous prime is 770884211. The next prime is 770884229. The reversal of 770884224 is 422488077.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (770884229) 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 23 ways as a sum of consecutive naturals, for example, 2183632 + ... + 2183984.

It is an arithmetic number, because the mean of its divisors is an integer number (12005910).

Almost surely, 2^770884224 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 770884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152567360).

770884224 is an abundant number, since it is smaller than the sum of its proper divisors (1534250496).

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

770884224 is a wasteful number, since it uses less digits than its factorization.

770884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 770884224 is about 27764.8018901630. The cubic root of 770884224 is about 916.9163550930.

The spelling of 770884224 in words is "seven hundred seventy million, eight hundred eighty-four thousand, two hundred twenty-four".