7927661000 has 384 divisors, whose sum is σ = 23662679040. Its totient is φ = 2467584000.

The previous prime is 7927660997. The next prime is 7927661029. The reversal of 7927661000 is 1667297.

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 95 ways as a sum of consecutive naturals, for example, 25822847 + ... + 25823153.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 2^7927661000 is an apocalyptic number.

7927661000 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 7927661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831339520).

7927661000 is an abundant number, since it is smaller than the sum of its proper divisors (15735018040).

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

7927661000 is a wasteful number, since it uses less digits than its factorization.

7927661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 7927661000 is about 89037.4134844448. The cubic root of 7927661000 is about 1993.9534882698.

The spelling of 7927661000 in words is "seven billion, nine hundred twenty-seven million, six hundred sixty-one thousand".