7991378460 has 192 divisors, whose sum is σ = 27027302400. Its totient is φ = 1948541184.

The previous prime is 7991378443. The next prime is 7991378489. The reversal of 7991378460 is 648731997.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7991378397 and 7991378406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745821 + ... + 756459.

It is an arithmetic number, because the mean of its divisors is an integer number (140767200).

Almost surely, 2^7991378460 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 7991378460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513651200).

7991378460 is an abundant number, since it is smaller than the sum of its proper divisors (19035923940).

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

7991378460 is a wasteful number, since it uses less digits than its factorization.

7991378460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7991378460 is about 89394.5102341301. The cubic root of 7991378460 is about 1999.2812800851.

The spelling of 7991378460 in words is "seven billion, nine hundred ninety-one million, three hundred seventy-eight thousand, four hundred sixty".