7925977728 has 384 divisors, whose sum is σ = 25204608000. Its totient is φ = 2380824576.

The previous prime is 7925977691. The next prime is 7925977751. The reversal of 7925977728 is 8277795297.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7925977728² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72715338 + ... + 72715446.

It is an arithmetic number, because the mean of its divisors is an integer number (65637000).

Almost surely, 2^7925977728 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 7925977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602304000).

7925977728 is an abundant number, since it is smaller than the sum of its proper divisors (17278630272).

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

7925977728 is a wasteful number, since it uses less digits than its factorization.

7925977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The square root of 7925977728 is about 89027.9603720090. The cubic root of 7925977728 is about 1993.8123535915.

The spelling of 7925977728 in words is "seven billion, nine hundred twenty-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight".