7779416401 has 9 divisors (see below), whose sum is σ = 7837082001. Its totient is φ = 7722173952.

The previous prime is 7779416399. The next prime is 7779416417. The reversal of 7779416401 is 1046149777.

The square root of 7779416401 is 88201.

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 147646801 + 7631769600 = 12151^2 + 87360^2 .

It is not a de Polignac number, because 7779416401 - 2¹ = 7779416399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7779416101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17022565 + ... + 17023021.

It is an arithmetic number, because the mean of its divisors is an integer number (870786889).

Almost surely, 2^7779416401 is an apocalyptic number.

7779416401 is the 88201-st square number.

7779416401 is the 44101-st centered octagonal number.

It is an amenable number.

7779416401 is a deficient number, since it is larger than the sum of its proper divisors (57665600).

7779416401 is an frugal number, since it uses more digits than its factorization.

7779416401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The cubic root of 7779416401 is about 1981.4464485109.

The spelling of 7779416401 in words is "seven billion, seven hundred seventy-nine million, four hundred sixteen thousand, four hundred one".