7879265280 has 308 divisors, whose sum is σ = 28351965312. Its totient is φ = 2100142080.

The previous prime is 7879265279. The next prime is 7879265297. The reversal of 7879265280 is 825629787.

It is a happy number.

It is a super-2 number, since 2×7879265280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3731425 + ... + 3733535.

Almost surely, 2^7879265280 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 7879265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175982656).

7879265280 is an abundant number, since it is smaller than the sum of its proper divisors (20472700032).

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

7879265280 is an equidigital number, since it uses as much as digits as its factorization.

7879265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7879265280 is about 88765.2256235515. The cubic root of 7879265280 is about 1989.8877305079.

The spelling of 7879265280 in words is "seven billion, eight hundred seventy-nine million, two hundred sixty-five thousand, two hundred eighty".