7805911680 has 640 divisors, whose sum is σ = 32582880000. Its totient is φ = 1780144128.

The previous prime is 7805911651. The next prime is 7805911691. The reversal of 7805911680 is 861195087.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 17780901 + ... + 17781339.

It is an arithmetic number, because the mean of its divisors is an integer number (50910750).

Almost surely, 2^7805911680 is an apocalyptic number.

7805911680 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 7805911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291440000).

7805911680 is an abundant number, since it is smaller than the sum of its proper divisors (24776968320).

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

7805911680 is an equidigital number, since it uses as much as digits as its factorization.

7805911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 7805911680 is about 88351.0706216965. The cubic root of 7805911680 is about 1983.6933817696.

The spelling of 7805911680 in words is "seven billion, eight hundred five million, nine hundred eleven thousand, six hundred eighty".