7790803022401 has 27 divisors (see below), whose sum is σ = 9117256616163. Its totient is φ = 6637922570160.

The previous prime is 7790803022389. The next prime is 7790803022437. The reversal of 7790803022401 is 1042203080977.

The square root of 7790803022401 is 2791201.

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., 85848414001 + 7704954608400 = 292999^2 + 2775780^2 .

It is not a de Polignac number, because 7790803022401 - 2⁵ = 7790803022369 is a prime.

It is a super-2 number, since 2×7790803022401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7790803020401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3536450566 + ... + 3536452768.

It is an arithmetic number, because the mean of its divisors is an integer number (337676170969).

Almost surely, 2^{7790803022401} is an apocalyptic number.

7790803022401 is the 2791201-st square number.

7790803022401 is the 1395601-st centered octagonal number.

It is an amenable number.

7790803022401 is a deficient number, since it is larger than the sum of its proper divisors (1326453593762).

7790803022401 is an frugal number, since it uses more digits than its factorization.

7790803022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 7790803022401 in words is "seven trillion, seven hundred ninety billion, eight hundred three million, twenty-two thousand, four hundred one".