784112004 has 81 divisors (see below), whose sum is σ = 2152250373. Its totient is φ = 240593184.

The previous prime is 784111997. The next prime is 784112027. The reversal of 784112004 is 400211487.

The square root of 784112004 is 28002.

It is a perfect power (a square), and thus also a powerful number.

784112004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 115992900 + 668119104 = 10770^2 + 25848^2 .

It is a super-2 number, since 2×784112004² = 1229663269633792032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2183977 + ... + 2184335.

Almost surely, 2^784112004 is an apocalyptic number.

784112004 is the 28002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 784112004

784112004 is an abundant number, since it is smaller than the sum of its proper divisors (1368138369).

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

784112004 is a wasteful number, since it uses less digits than its factorization.

784112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 784112004 is about 922.1311668060.

The spelling of 784112004 in words is "seven hundred eighty-four million, one hundred twelve thousand, four".