7840217025 has 27 divisors (see below), whose sum is σ = 14045079139. Its totient is φ = 4180740720.

The previous prime is 7840216999. The next prime is 7840217039. The reversal of 7840217025 is 5207120487.

The square root of 7840217025 is 88545.

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., 2822478129 + 5017738896 = 53127^2 + 70836^2 .

It is not a de Polignac number, because 7840217025 - 2²¹ = 7838119873 is a prime.

It is a super-2 number, since 2×7840217025² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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, 1325224 + ... + 1331126.

Almost surely, 2^7840217025 is an apocalyptic number.

7840217025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7840217025 is the 88545-th square number.

7840217025 is the 44273-rd centered octagonal number.

It is an amenable number.

7840217025 is a deficient number, since it is larger than the sum of its proper divisors (6204862114).

7840217025 is an frugal number, since it uses more digits than its factorization.

7840217025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The cubic root of 7840217025 is about 1986.5951072367.

Multiplying 7840217025 by its sum of digits (36), we get a square (282247812900 = 531270²).

The spelling of 7840217025 in words is "seven billion, eight hundred forty million, two hundred seventeen thousand, twenty-five".