7972786080 has 648 divisors, whose sum is σ = 33509244132. Its totient is φ = 1720922112.

The previous prime is 7972786037. The next prime is 7972786091. The reversal of 7972786080 is 806872797.

7972786080 is a `hidden beast` number, since 7 + 9 + 7 + 27 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6625308816 + 1347477264 = 81396^2 + 36708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25472004 + ... + 25472316.

Almost surely, 2^7972786080 is an apocalyptic number.

7972786080 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 7972786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754622066).

7972786080 is an abundant number, since it is smaller than the sum of its proper divisors (25536458052).

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

7972786080 is a wasteful number, since it uses less digits than its factorization.

7972786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7972786080 is about 89290.4590647847. The cubic root of 7972786080 is about 1997.7295969436.

The spelling of 7972786080 in words is "seven billion, nine hundred seventy-two million, seven hundred eighty-six thousand, eighty".