7977945830400 has 3168 divisors, whose sum is σ = 38650003741440. Its totient is φ = 1582332641280.

The previous prime is 7977945830389. The next prime is 7977945830431. The reversal of 7977945830400 is 40385497797.

7977945830400 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 9 + 4 + 583 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×7977945830400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9623577186 + ... + 9623578014.

Almost surely, 2^{7977945830400} is an apocalyptic number.

7977945830400 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 7977945830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325001870720).

7977945830400 is an abundant number, since it is smaller than the sum of its proper divisors (30672057911040).

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

7977945830400 is a wasteful number, since it uses less digits than its factorization.

7977945830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 7977945830400 in words is "seven trillion, nine hundred seventy-seven billion, nine hundred forty-five million, eight hundred thirty thousand, four hundred".