784225280 has 88 divisors (see below), whose sum is σ = 1903464360. Its totient is φ = 309985280.

The previous prime is 784225241. The next prime is 784225331. The reversal of 784225280 is 82522487.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59969536 + 724255744 = 7744^2 + 26912^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 454820 + ... + 456540.

Almost surely, 2^784225280 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 784225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951732180).

784225280 is an abundant number, since it is smaller than the sum of its proper divisors (1119239080).

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

784225280 is a wasteful number, since it uses less digits than its factorization.

784225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 784225280 is about 28004.0225681954. The cubic root of 784225280 is about 922.1755696039.

The spelling of 784225280 in words is "seven hundred eighty-four million, two hundred twenty-five thousand, two hundred eighty".