7847642880 has 720 divisors, whose sum is σ = 35044821504. Its totient is φ = 1629020160.

The previous prime is 7847642857. The next prime is 7847642951. The reversal of 7847642880 is 882467487.

It is a happy number.

7847642880 is a `hidden beast` number, since 78 + 4 + 76 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7982869 + ... + 7983851.

Almost surely, 2^7847642880 is an apocalyptic number.

7847642880 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 7847642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522410752).

7847642880 is an abundant number, since it is smaller than the sum of its proper divisors (27197178624).

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

7847642880 is a wasteful number, since it uses less digits than its factorization.

7847642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 7847642880 is about 88586.9227369367. The cubic root of 7847642880 is about 1987.2221099549. Note that the first 3 decimals are identical.

The spelling of 7847642880 in words is "seven billion, eight hundred forty-seven million, six hundred forty-two thousand, eight hundred eighty".