7921676880 has 400 divisors, whose sum is σ = 29824591104. Its totient is φ = 1937157120.

The previous prime is 7921676869. The next prime is 7921676909. The reversal of 7921676880 is 886761297.

It is a super-2 number, since 2×7921676880² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22828867 + ... + 22829213.

Almost surely, 2^7921676880 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 7921676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912295552).

7921676880 is an abundant number, since it is smaller than the sum of its proper divisors (21902914224).

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

7921676880 is a wasteful number, since it uses less digits than its factorization.

7921676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 7921676880 is about 89003.8026153939. The cubic root of 7921676880 is about 1993.4516563308.

The spelling of 7921676880 in words is "seven billion, nine hundred twenty-one million, six hundred seventy-six thousand, eight hundred eighty".