7823579401 has 45 divisors (see below), whose sum is σ = 9359436855. Its totient is φ = 6538297920.

The previous prime is 7823579383. The next prime is 7823579411. The reversal of 7823579401 is 1049753287.

The square root of 7823579401 is 88451.

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., 6091022025 + 1732557376 = 78045^2 + 41624^2 .

It is not a de Polignac number, because 7823579401 - 2⁷ = 7823579273 is a prime.

It is a super-2 number, since 2×7823579401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7823579411) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 181943686 + ... + 181943728.

Almost surely, 2^7823579401 is an apocalyptic number.

7823579401 is the 88451-st square number.

7823579401 is the 44226-th centered octagonal number.

It is an amenable number.

7823579401 is a deficient number, since it is larger than the sum of its proper divisors (1535857454).

7823579401 is an frugal number, since it uses more digits than its factorization.

7823579401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The cubic root of 7823579401 is about 1985.1888693809.

The spelling of 7823579401 in words is "seven billion, eight hundred twenty-three million, five hundred seventy-nine thousand, four hundred one".