7813226784 has 96 divisors (see below), whose sum is σ = 22431802176. Its totient is φ = 2361553920.

The previous prime is 7813226783. The next prime is 7813226791. The reversal of 7813226784 is 4876223187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7813226784² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7813226783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409914 + ... + 428550.

It is an arithmetic number, because the mean of its divisors is an integer number (233664606).

Almost surely, 2^7813226784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7813226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215901088).

7813226784 is an abundant number, since it is smaller than the sum of its proper divisors (14618575392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7813226784 is a wasteful number, since it uses less digits than its factorization.

7813226784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19058 (or 19050 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 7813226784 is about 88392.4588638646. The cubic root of 7813226784 is about 1984.3128435956.

The spelling of 7813226784 in words is "seven billion, eight hundred thirteen million, two hundred twenty-six thousand, seven hundred eighty-four".