7790211299025 has 243 divisors, whose sum is σ = 14790260250129. Its totient is φ = 3919501215360.

The previous prime is 7790211298999. The next prime is 7790211299063. The reversal of 7790211299025 is 5209921120977.

The square root of 7790211299025 is 2791095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 739529481681 + 7050681817344 = 859959^2 + 2655312^2 .

It is not a de Polignac number, because 7790211299025 - 2⁵ = 7790211298993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 72805713022 + ... + 72805713128.

Almost surely, 2^{7790211299025} is an apocalyptic number.

7790211299025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7790211299025 is the 2791095-th square number.

7790211299025 is the 1395548-th centered octagonal number.

It is an amenable number.

7790211299025 is a deficient number, since it is larger than the sum of its proper divisors (7000048951104).

7790211299025 is a wasteful number, since it uses less digits than its factorization.

7790211299025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 7790211299025 in words is "seven trillion, seven hundred ninety billion, two hundred eleven million, two hundred ninety-nine thousand, twenty-five".