7805379360 has 384 divisors, whose sum is σ = 27311800320. Its totient is φ = 1864912896.

The previous prime is 7805379353. The next prime is 7805379401. The reversal of 7805379360 is 639735087.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 26639374 + ... + 26639666.

It is an arithmetic number, because the mean of its divisors is an integer number (71124480).

Almost surely, 2^7805379360 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 7805379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655900160).

7805379360 is an abundant number, since it is smaller than the sum of its proper divisors (19506420960).

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

7805379360 is a wasteful number, since it uses less digits than its factorization.

7805379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 7805379360 is about 88348.0580431738. The cubic root of 7805379360 is about 1983.6482884392.

The spelling of 7805379360 in words is "seven billion, eight hundred five million, three hundred seventy-nine thousand, three hundred sixty".