7822904320 has 176 divisors, whose sum is σ = 23397504768. Its totient is φ = 2438184960.

The previous prime is 7822904317. The next prime is 7822904347. The reversal of 7822904320 is 234092287.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×7822904320² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7822904320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384319 + ... + 404161.

It is an arithmetic number, because the mean of its divisors is an integer number (132940368).

Almost surely, 2^7822904320 is an apocalyptic number.

7822904320 is a gapful number since it is divisible by the number (70) 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 7822904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698752384).

7822904320 is an abundant number, since it is smaller than the sum of its proper divisors (15574600448).

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

7822904320 is a wasteful number, since it uses less digits than its factorization.

7822904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19886 (or 19868 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 7822904320 is about 88447.1837878403. The cubic root of 7822904320 is about 1985.1317684144.

The spelling of 7822904320 in words is "seven billion, eight hundred twenty-two million, nine hundred four thousand, three hundred twenty".