7909434225 has 225 divisors, whose sum is σ = 18179372315. Its totient is φ = 3287037600.

The previous prime is 7909434193. The next prime is 7909434283. The reversal of 7909434225 is 5224349097.

The square root of 7909434225 is 88935.

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., 2847396321 + 5062037904 = 53361^2 + 71148^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 7909434225 - 2⁵ = 7909434193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 719039470 + ... + 719039480.

Almost surely, 2^7909434225 is an apocalyptic number.

7909434225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7909434225 is the 88935-th square number.

7909434225 is the 44468-th centered octagonal number.

It is an amenable number.

7909434225 is an abundant number, since it is smaller than the sum of its proper divisors (10269938090).

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

7909434225 is an frugal number, since it uses more digits than its factorization.

7909434225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 7909434225 is about 1992.4241918821.

The spelling of 7909434225 in words is "seven billion, nine hundred nine million, four hundred thirty-four thousand, two hundred twenty-five".