7820408960 has 256 divisors, whose sum is σ = 23507850240. Its totient is φ = 2421522432.

The previous prime is 7820408957. The next prime is 7820408983. The reversal of 7820408960 is 698040287.

It is a super-2 number, since 2×7820408960² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2735852 + ... + 2738708.

It is an arithmetic number, because the mean of its divisors is an integer number (91827540).

Almost surely, 2^7820408960 is an apocalyptic number.

7820408960 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 7820408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753925120).

7820408960 is an abundant number, since it is smaller than the sum of its proper divisors (15687441280).

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

7820408960 is a wasteful number, since it uses less digits than its factorization.

7820408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 7820408960 is about 88433.0761649735. The cubic root of 7820408960 is about 1984.9206726796.

The spelling of 7820408960 in words is "seven billion, eight hundred twenty million, four hundred eight thousand, nine hundred sixty".