7876649880 has 576 divisors, whose sum is σ = 30673843200. Its totient is φ = 1744934400.

The previous prime is 7876649863. The next prime is 7876649881. The reversal of 7876649880 is 889466787.

7876649880 is a `hidden beast` number, since 7 + 8 + 7 + 66 + 498 + 80 = 666.

It is a super-2 number, since 2×7876649880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7876649881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25656687 + ... + 25656993.

It is an arithmetic number, because the mean of its divisors is an integer number (53253200).

Almost surely, 2^7876649880 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 7876649880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336921600).

7876649880 is an abundant number, since it is smaller than the sum of its proper divisors (22797193320).

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

7876649880 is a wasteful number, since it uses less digits than its factorization.

7876649880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 7876649880 is about 88750.4922803248. The cubic root of 7876649880 is about 1989.6675353448.

It can be divided in two parts, 7876 and 649880, that added together give a palindrome (657756).

The spelling of 7876649880 in words is "seven billion, eight hundred seventy-six million, six hundred forty-nine thousand, eight hundred eighty".