7971828480 has 1296 divisors, whose sum is σ = 37319842560. Its totient is φ = 1532805120.

The previous prime is 7971828463. The next prime is 7971828511. The reversal of 7971828480 is 848281797.

It is a happy number.

7971828480 is a `hidden beast` number, since 79 + 71 + 8 + 28 + 480 = 666.

It is a super-2 number, since 2×7971828480² (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 143 ways as a sum of consecutive naturals, for example, 185391339 + ... + 185391381.

Almost surely, 2^7971828480 is an apocalyptic number.

7971828480 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 7971828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659921280).

7971828480 is an abundant number, since it is smaller than the sum of its proper divisors (29348014080).

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

7971828480 is a wasteful number, since it uses less digits than its factorization.

7971828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7971828480 is about 89285.0966287207. The cubic root of 7971828480 is about 1997.6496122541.

The spelling of 7971828480 in words is "seven billion, nine hundred seventy-one million, eight hundred twenty-eight thousand, four hundred eighty".