7814079072 has 144 divisors (see below), whose sum is σ = 23165814672. Its totient is φ = 2590963200.

The previous prime is 7814079059. The next prime is 7814079101. The reversal of 7814079072 is 2709704187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7814079072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1529322 + ... + 1534422.

It is an arithmetic number, because the mean of its divisors is an integer number (160873713).

Almost surely, 2^7814079072 is an apocalyptic number.

7814079072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7814079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582907336).

7814079072 is an abundant number, since it is smaller than the sum of its proper divisors (15351735600).

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

7814079072 is a wasteful number, since it uses less digits than its factorization.

7814079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 7814079072 is about 88397.2797771515. The cubic root of 7814079072 is about 1984.3849923838.

The spelling of 7814079072 in words is "seven billion, eight hundred fourteen million, seventy-nine thousand, seventy-two".