784280025 has 27 divisors (see below), whose sum is σ = 1405485471. Its totient is φ = 418058640.

The previous prime is 784279997. The next prime is 784280033. The reversal of 784280025 is 520082487.

It is a happy number.

The square root of 784280025 is 28005.

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

It can be written as a sum of positive squares in only one way, i.e., 282340809 + 501939216 = 16803^2 + 22404^2 .

It is not a de Polignac number, because 784280025 - 2¹⁵ = 784247257 is a prime.

It is a super-2 number, since 2×784280025² = 1230190315228001250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419142 + ... + 421008.

Almost surely, 2^784280025 is an apocalyptic number.

784280025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

784280025 is the 28005-th square number.

784280025 is the 14003-rd centered octagonal number.

It is an amenable number.

784280025 is a deficient number, since it is larger than the sum of its proper divisors (621205446).

784280025 is an equidigital number, since it uses as much as digits as its factorization.

784280025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 784280025 is about 922.1970274376.

Multiplying 784280025 by its sum of digits (36), we get a square (28234080900 = 168030²).

The spelling of 784280025 in words is "seven hundred eighty-four million, two hundred eighty thousand, twenty-five".