7882418880 has 672 divisors, whose sum is σ = 33020812800. Its totient is φ = 1733474304.

The previous prime is 7882418857. The next prime is 7882418891. The reversal of 7882418880 is 888142887.

7882418880 is a `hidden beast` number, since 78 + 82 + 418 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133600291 + ... + 133600349.

Almost surely, 2^7882418880 is an apocalyptic number.

7882418880 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 7882418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510406400).

7882418880 is an abundant number, since it is smaller than the sum of its proper divisors (25138393920).

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

7882418880 is a wasteful number, since it uses less digits than its factorization.

7882418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The square root of 7882418880 is about 88782.9875595544. The cubic root of 7882418880 is about 1990.1531728937.

The spelling of 7882418880 in words is "seven billion, eight hundred eighty-two million, four hundred eighteen thousand, eight hundred eighty".